What is the Least Common Multiple of 8369 and 8374?
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 8369 and 8374 is 70082006.
LCM(8369,8374) = 70082006
Least Common Multiple of 8369 and 8374 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8369 and 8374, than apply into the LCM equation.
GCF(8369,8374) = 1
LCM(8369,8374) = ( 8369 × 8374) / 1
LCM(8369,8374) = 70082006 / 1
LCM(8369,8374) = 70082006
Least Common Multiple (LCM) of 8369 and 8374 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 8369 and 8374. First we will calculate the prime factors of 8369 and 8374.
Prime Factorization of 8369
Prime factors of 8369 are 8369. Prime factorization of 8369 in exponential form is:
8369 = 83691
Prime Factorization of 8374
Prime factors of 8374 are 2, 53, 79. Prime factorization of 8374 in exponential form is:
8374 = 21 × 531 × 791
Now multiplying the highest exponent prime factors to calculate the LCM of 8369 and 8374.
LCM(8369,8374) = 83691 × 21 × 531 × 791
LCM(8369,8374) = 70082006
Related Least Common Multiples of 8369
- LCM of 8369 and 8373
- LCM of 8369 and 8374
- LCM of 8369 and 8375
- LCM of 8369 and 8376
- LCM of 8369 and 8377
- LCM of 8369 and 8378
- LCM of 8369 and 8379
- LCM of 8369 and 8380
- LCM of 8369 and 8381
- LCM of 8369 and 8382
- LCM of 8369 and 8383
- LCM of 8369 and 8384
- LCM of 8369 and 8385
- LCM of 8369 and 8386
- LCM of 8369 and 8387
- LCM of 8369 and 8388
- LCM of 8369 and 8389
Related Least Common Multiples of 8374
- LCM of 8374 and 8378
- LCM of 8374 and 8379
- LCM of 8374 and 8380
- LCM of 8374 and 8381
- LCM of 8374 and 8382
- LCM of 8374 and 8383
- LCM of 8374 and 8384
- LCM of 8374 and 8385
- LCM of 8374 and 8386
- LCM of 8374 and 8387
- LCM of 8374 and 8388
- LCM of 8374 and 8389
- LCM of 8374 and 8390
- LCM of 8374 and 8391
- LCM of 8374 and 8392
- LCM of 8374 and 8393
- LCM of 8374 and 8394