What is the Least Common Multiple of 60375 and 60382?

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 60375 and 60382 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60375 and 60382, than apply into the LCM equation.

GCF(60375,60382) = 7
LCM(60375,60382) = ( 60375 × 60382) / 7
LCM(60375,60382) = 3645563250 / 7
LCM(60375,60382) = 520794750

Least Common Multiple (LCM) of 60375 and 60382 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60375 and 60382. First we will calculate the prime factors of 60375 and 60382.

Prime Factorization of 60375

Prime Factorization of 60382

Now multiplying the highest exponent prime factors to calculate the LCM of 60375 and 60382.

LCM(60375,60382) = 3¹ × 5³ × 7¹ × 23¹ × 2¹ × 19¹ × 227¹
LCM(60375,60382) = 520794750