What is the Least Common Multiple of 61560 and 61572?

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 61572 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 61572, than apply into the LCM equation.

GCF(61560,61572) = 12
LCM(61560,61572) = ( 61560 × 61572) / 12
LCM(61560,61572) = 3790372320 / 12
LCM(61560,61572) = 315864360

Least Common Multiple (LCM) of 61560 and 61572 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61560 and 61572. First we will calculate the prime factors of 61560 and 61572.

Prime Factorization of 61560

Prime Factorization of 61572

Now multiplying the highest exponent prime factors to calculate the LCM of 61560 and 61572.

LCM(61560,61572) = 2³ × 3⁴ × 5¹ × 19¹ × 7¹ × 733¹
LCM(61560,61572) = 315864360