What is the Least Common Multiple of 10396 and 10412?
Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.
Least common multiple (LCM) of 10396 and 10412 is 27060788.
LCM(10396,10412) = 27060788
Least Common Multiple of 10396 and 10412 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10396 and 10412, than apply into the LCM equation.
GCF(10396,10412) = 4
LCM(10396,10412) = ( 10396 × 10412) / 4
LCM(10396,10412) = 108243152 / 4
LCM(10396,10412) = 27060788
Least Common Multiple (LCM) of 10396 and 10412 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 10396 and 10412. First we will calculate the prime factors of 10396 and 10412.
Prime Factorization of 10396
Prime factors of 10396 are 2, 23, 113. Prime factorization of 10396 in exponential form is:
10396 = 22 × 231 × 1131
Prime Factorization of 10412
Prime factors of 10412 are 2, 19, 137. Prime factorization of 10412 in exponential form is:
10412 = 22 × 191 × 1371
Now multiplying the highest exponent prime factors to calculate the LCM of 10396 and 10412.
LCM(10396,10412) = 22 × 231 × 1131 × 191 × 1371
LCM(10396,10412) = 27060788
Related Least Common Multiples of 10396
- LCM of 10396 and 10400
- LCM of 10396 and 10401
- LCM of 10396 and 10402
- LCM of 10396 and 10403
- LCM of 10396 and 10404
- LCM of 10396 and 10405
- LCM of 10396 and 10406
- LCM of 10396 and 10407
- LCM of 10396 and 10408
- LCM of 10396 and 10409
- LCM of 10396 and 10410
- LCM of 10396 and 10411
- LCM of 10396 and 10412
- LCM of 10396 and 10413
- LCM of 10396 and 10414
- LCM of 10396 and 10415
- LCM of 10396 and 10416
Related Least Common Multiples of 10412
- LCM of 10412 and 10416
- LCM of 10412 and 10417
- LCM of 10412 and 10418
- LCM of 10412 and 10419
- LCM of 10412 and 10420
- LCM of 10412 and 10421
- LCM of 10412 and 10422
- LCM of 10412 and 10423
- LCM of 10412 and 10424
- LCM of 10412 and 10425
- LCM of 10412 and 10426
- LCM of 10412 and 10427
- LCM of 10412 and 10428
- LCM of 10412 and 10429
- LCM of 10412 and 10430
- LCM of 10412 and 10431
- LCM of 10412 and 10432