What is the Least Common Multiple of 61359 and 61378?

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 61359 and 61378 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61359 and 61378, than apply into the LCM equation.

GCF(61359,61378) = 1
LCM(61359,61378) = ( 61359 × 61378) / 1
LCM(61359,61378) = 3766092702 / 1
LCM(61359,61378) = 3766092702

Least Common Multiple (LCM) of 61359 and 61378 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61359 and 61378. First we will calculate the prime factors of 61359 and 61378.

Prime Factorization of 61359

Prime Factorization of 61378

Now multiplying the highest exponent prime factors to calculate the LCM of 61359 and 61378.

LCM(61359,61378) = 3¹ × 113¹ × 181¹ × 2¹ × 30689¹
LCM(61359,61378) = 3766092702