What is the Least Common Multiple of 48625 and 48635?

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 of 48625 and 48635 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48625 and 48635, than apply into the LCM equation.

GCF(48625,48635) = 5
LCM(48625,48635) = ( 48625 × 48635) / 5
LCM(48625,48635) = 2364876875 / 5
LCM(48625,48635) = 472975375

Least Common Multiple (LCM) of 48625 and 48635 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48625 and 48635. First we will calculate the prime factors of 48625 and 48635.

Prime Factorization of 48625

Prime Factorization of 48635

Now multiplying the highest exponent prime factors to calculate the LCM of 48625 and 48635.

LCM(48625,48635) = 5³ × 389¹ × 71¹ × 137¹
LCM(48625,48635) = 472975375