What is the Least Common Multiple of 61959 and 61968?

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 61959 and 61968 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61959 and 61968, than apply into the LCM equation.

GCF(61959,61968) = 3
LCM(61959,61968) = ( 61959 × 61968) / 3
LCM(61959,61968) = 3839475312 / 3
LCM(61959,61968) = 1279825104

Least Common Multiple (LCM) of 61959 and 61968 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61959 and 61968. First we will calculate the prime factors of 61959 and 61968.

Prime Factorization of 61959

Prime Factorization of 61968

Now multiplying the highest exponent prime factors to calculate the LCM of 61959 and 61968.

LCM(61959,61968) = 3¹ × 19¹ × 1087¹ × 2⁴ × 1291¹
LCM(61959,61968) = 1279825104