What is the Least Common Multiple of 59952 and 59967?

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 59952 and 59967 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59952 and 59967, than apply into the LCM equation.

GCF(59952,59967) = 3
LCM(59952,59967) = ( 59952 × 59967) / 3
LCM(59952,59967) = 3595141584 / 3
LCM(59952,59967) = 1198380528

Least Common Multiple (LCM) of 59952 and 59967 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59952 and 59967. First we will calculate the prime factors of 59952 and 59967.

Prime Factorization of 59952

Prime Factorization of 59967

Now multiplying the highest exponent prime factors to calculate the LCM of 59952 and 59967.

LCM(59952,59967) = 2⁴ × 3³ × 1249¹ × 2221¹
LCM(59952,59967) = 1198380528