What is the Least Common Multiple of 59964 and 59968?

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 59964 and 59968 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59964 and 59968, than apply into the LCM equation.

GCF(59964,59968) = 4
LCM(59964,59968) = ( 59964 × 59968) / 4
LCM(59964,59968) = 3595921152 / 4
LCM(59964,59968) = 898980288

Least Common Multiple (LCM) of 59964 and 59968 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59964 and 59968. First we will calculate the prime factors of 59964 and 59968.

Prime Factorization of 59964

Prime Factorization of 59968

Now multiplying the highest exponent prime factors to calculate the LCM of 59964 and 59968.

LCM(59964,59968) = 2⁶ × 3¹ × 19¹ × 263¹ × 937¹
LCM(59964,59968) = 898980288