What is the Least Common Multiple of 59325 and 59331?

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 59325 and 59331 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59325 and 59331, than apply into the LCM equation.

GCF(59325,59331) = 3
LCM(59325,59331) = ( 59325 × 59331) / 3
LCM(59325,59331) = 3519811575 / 3
LCM(59325,59331) = 1173270525

Least Common Multiple (LCM) of 59325 and 59331 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59325 and 59331. First we will calculate the prime factors of 59325 and 59331.

Prime Factorization of 59325

Prime Factorization of 59331

Now multiplying the highest exponent prime factors to calculate the LCM of 59325 and 59331.

LCM(59325,59331) = 3¹ × 5² × 7¹ × 113¹ × 19777¹
LCM(59325,59331) = 1173270525