What is the Least Common Multiple of 51960 and 51968?

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 51960 and 51968 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51960 and 51968, than apply into the LCM equation.

GCF(51960,51968) = 8
LCM(51960,51968) = ( 51960 × 51968) / 8
LCM(51960,51968) = 2700257280 / 8
LCM(51960,51968) = 337532160

Least Common Multiple (LCM) of 51960 and 51968 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51960 and 51968. First we will calculate the prime factors of 51960 and 51968.

Prime Factorization of 51960

Prime Factorization of 51968

Now multiplying the highest exponent prime factors to calculate the LCM of 51960 and 51968.

LCM(51960,51968) = 2⁸ × 3¹ × 5¹ × 433¹ × 7¹ × 29¹
LCM(51960,51968) = 337532160