What is the Least Common Multiple of 61378 and 61384?

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 61384 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 61384, than apply into the LCM equation.

GCF(61378,61384) = 2
LCM(61378,61384) = ( 61378 × 61384) / 2
LCM(61378,61384) = 3767627152 / 2
LCM(61378,61384) = 1883813576

Least Common Multiple (LCM) of 61378 and 61384 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61378 and 61384. First we will calculate the prime factors of 61378 and 61384.

Prime Factorization of 61378

Prime Factorization of 61384

Now multiplying the highest exponent prime factors to calculate the LCM of 61378 and 61384.

LCM(61378,61384) = 2³ × 30689¹ × 7673¹
LCM(61378,61384) = 1883813576