What is the Least Common Multiple of 61378 and 61393?

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 61378 and 61393 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61378 and 61393, than apply into the LCM equation.

GCF(61378,61393) = 1
LCM(61378,61393) = ( 61378 × 61393) / 1
LCM(61378,61393) = 3768179554 / 1
LCM(61378,61393) = 3768179554

Least Common Multiple (LCM) of 61378 and 61393 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61378 and 61393. First we will calculate the prime factors of 61378 and 61393.

Prime Factorization of 61378

Prime Factorization of 61393

Now multiplying the highest exponent prime factors to calculate the LCM of 61378 and 61393.

LCM(61378,61393) = 2¹ × 30689¹ × 29² × 73¹
LCM(61378,61393) = 3768179554