What is the Least Common Multiple of 61560 and 61564?

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 61564 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 61564, than apply into the LCM equation.

GCF(61560,61564) = 4
LCM(61560,61564) = ( 61560 × 61564) / 4
LCM(61560,61564) = 3789879840 / 4
LCM(61560,61564) = 947469960

Least Common Multiple (LCM) of 61560 and 61564 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61560 and 61564. First we will calculate the prime factors of 61560 and 61564.

Prime Factorization of 61560

Prime Factorization of 61564

Now multiplying the highest exponent prime factors to calculate the LCM of 61560 and 61564.

LCM(61560,61564) = 2³ × 3⁴ × 5¹ × 19¹ × 15391¹
LCM(61560,61564) = 947469960