What is the Least Common Multiple of 61551 and 61560?

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 61551 and 61560 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61551 and 61560, than apply into the LCM equation.

GCF(61551,61560) = 9
LCM(61551,61560) = ( 61551 × 61560) / 9
LCM(61551,61560) = 3789079560 / 9
LCM(61551,61560) = 421008840

Least Common Multiple (LCM) of 61551 and 61560 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61551 and 61560. First we will calculate the prime factors of 61551 and 61560.

Prime Factorization of 61551

Prime Factorization of 61560

Now multiplying the highest exponent prime factors to calculate the LCM of 61551 and 61560.

LCM(61551,61560) = 3⁴ × 7¹ × 977¹ × 2³ × 5¹ × 19¹
LCM(61551,61560) = 421008840