What is the Least Common Multiple of 61378 and 61388?

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 61388 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 61388, than apply into the LCM equation.

GCF(61378,61388) = 2
LCM(61378,61388) = ( 61378 × 61388) / 2
LCM(61378,61388) = 3767872664 / 2
LCM(61378,61388) = 1883936332

Least Common Multiple (LCM) of 61378 and 61388 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61378 and 61388. First we will calculate the prime factors of 61378 and 61388.

Prime Factorization of 61378

Prime Factorization of 61388

Now multiplying the highest exponent prime factors to calculate the LCM of 61378 and 61388.

LCM(61378,61388) = 2² × 30689¹ × 103¹ × 149¹
LCM(61378,61388) = 1883936332