What is the Least Common Multiple of 59418 and 59432?

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 59418 and 59432 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59418 and 59432, than apply into the LCM equation.

GCF(59418,59432) = 2
LCM(59418,59432) = ( 59418 × 59432) / 2
LCM(59418,59432) = 3531330576 / 2
LCM(59418,59432) = 1765665288

Least Common Multiple (LCM) of 59418 and 59432 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59418 and 59432. First we will calculate the prime factors of 59418 and 59432.

Prime Factorization of 59418

Prime Factorization of 59432

Now multiplying the highest exponent prime factors to calculate the LCM of 59418 and 59432.

LCM(59418,59432) = 2³ × 3² × 3301¹ × 17¹ × 19¹ × 23¹
LCM(59418,59432) = 1765665288