What is the Least Common Multiple of 74625 and 74632?

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 74625 and 74632 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74625 and 74632, than apply into the LCM equation.

GCF(74625,74632) = 1
LCM(74625,74632) = ( 74625 × 74632) / 1
LCM(74625,74632) = 5569413000 / 1
LCM(74625,74632) = 5569413000

Least Common Multiple (LCM) of 74625 and 74632 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74625 and 74632. First we will calculate the prime factors of 74625 and 74632.

Prime Factorization of 74625

Prime Factorization of 74632

Now multiplying the highest exponent prime factors to calculate the LCM of 74625 and 74632.

LCM(74625,74632) = 3¹ × 5³ × 199¹ × 2³ × 19¹ × 491¹
LCM(74625,74632) = 5569413000