GCF and LCM Calculator Logo

What is the Least Common Multiple of 48635 and 48640?

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 48635 and 48640 is 473121280.

LCM(48635,48640) = 473121280

LCM Calculator and
and

Least Common Multiple of 48635 and 48640 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48635 and 48640, than apply into the LCM equation.

GCF(48635,48640) = 5
LCM(48635,48640) = ( 48635 × 48640) / 5
LCM(48635,48640) = 2365606400 / 5
LCM(48635,48640) = 473121280

Least Common Multiple (LCM) of 48635 and 48640 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48635 and 48640. First we will calculate the prime factors of 48635 and 48640.

Prime Factorization of 48635

Prime factors of 48635 are 5, 71, 137. Prime factorization of 48635 in exponential form is:

48635 = 51 × 711 × 1371

Prime Factorization of 48640

Prime factors of 48640 are 2, 5, 19. Prime factorization of 48640 in exponential form is:

48640 = 29 × 51 × 191

Now multiplying the highest exponent prime factors to calculate the LCM of 48635 and 48640.

LCM(48635,48640) = 51 × 711 × 1371 × 29 × 191
LCM(48635,48640) = 473121280