What is the Least Common Multiple of 55950 and 55968?

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 55950 and 55968 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55950 and 55968, than apply into the LCM equation.

GCF(55950,55968) = 6
LCM(55950,55968) = ( 55950 × 55968) / 6
LCM(55950,55968) = 3131409600 / 6
LCM(55950,55968) = 521901600

Least Common Multiple (LCM) of 55950 and 55968 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55950 and 55968. First we will calculate the prime factors of 55950 and 55968.

Prime Factorization of 55950

Prime Factorization of 55968

Now multiplying the highest exponent prime factors to calculate the LCM of 55950 and 55968.

LCM(55950,55968) = 2⁵ × 3¹ × 5² × 373¹ × 11¹ × 53¹
LCM(55950,55968) = 521901600