What is the Least Common Multiple of 61560 and 61578?

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 61560 and 61578 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61560 and 61578, than apply into the LCM equation.

GCF(61560,61578) = 18
LCM(61560,61578) = ( 61560 × 61578) / 18
LCM(61560,61578) = 3790741680 / 18
LCM(61560,61578) = 210596760

Least Common Multiple (LCM) of 61560 and 61578 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61560 and 61578. First we will calculate the prime factors of 61560 and 61578.

Prime Factorization of 61560

Prime Factorization of 61578

Now multiplying the highest exponent prime factors to calculate the LCM of 61560 and 61578.

LCM(61560,61578) = 2³ × 3⁴ × 5¹ × 19¹ × 11¹ × 311¹
LCM(61560,61578) = 210596760