What is the Least Common Multiple of 59375 and 59382?

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 59375 and 59382 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59375 and 59382, than apply into the LCM equation.

GCF(59375,59382) = 1
LCM(59375,59382) = ( 59375 × 59382) / 1
LCM(59375,59382) = 3525806250 / 1
LCM(59375,59382) = 3525806250

Least Common Multiple (LCM) of 59375 and 59382 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59375 and 59382. First we will calculate the prime factors of 59375 and 59382.

Prime Factorization of 59375

Prime Factorization of 59382

Now multiplying the highest exponent prime factors to calculate the LCM of 59375 and 59382.

LCM(59375,59382) = 5⁵ × 19¹ × 2¹ × 3² × 3299¹
LCM(59375,59382) = 3525806250