What is the Least Common Multiple of 400 and 407?
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 400 and 407 is 162800.
LCM(400,407) = 162800
Least Common Multiple of 400 and 407 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 400 and 407, than apply into the LCM equation.
GCF(400,407) = 1
LCM(400,407) = ( 400 × 407) / 1
LCM(400,407) = 162800 / 1
LCM(400,407) = 162800
Least Common Multiple (LCM) of 400 and 407 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 400 and 407. First we will calculate the prime factors of 400 and 407.
Prime Factorization of 400
Prime factors of 400 are 2, 5. Prime factorization of 400 in exponential form is:
400 = 24 × 52
Prime Factorization of 407
Prime factors of 407 are 11, 37. Prime factorization of 407 in exponential form is:
407 = 111 × 371
Now multiplying the highest exponent prime factors to calculate the LCM of 400 and 407.
LCM(400,407) = 24 × 52 × 111 × 371
LCM(400,407) = 162800
Related Least Common Multiples of 400
- LCM of 400 and 404
- LCM of 400 and 405
- LCM of 400 and 406
- LCM of 400 and 407
- LCM of 400 and 408
- LCM of 400 and 409
- LCM of 400 and 410
- LCM of 400 and 411
- LCM of 400 and 412
- LCM of 400 and 413
- LCM of 400 and 414
- LCM of 400 and 415
- LCM of 400 and 416
- LCM of 400 and 417
- LCM of 400 and 418
- LCM of 400 and 419
- LCM of 400 and 420
Related Least Common Multiples of 407
- LCM of 407 and 411
- LCM of 407 and 412
- LCM of 407 and 413
- LCM of 407 and 414
- LCM of 407 and 415
- LCM of 407 and 416
- LCM of 407 and 417
- LCM of 407 and 418
- LCM of 407 and 419
- LCM of 407 and 420
- LCM of 407 and 421
- LCM of 407 and 422
- LCM of 407 and 423
- LCM of 407 and 424
- LCM of 407 and 425
- LCM of 407 and 426
- LCM of 407 and 427