What is the Least Common Multiple of 42960 and 42972?

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 42960 and 42972 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42960 and 42972, than apply into the LCM equation.

GCF(42960,42972) = 12
LCM(42960,42972) = ( 42960 × 42972) / 12
LCM(42960,42972) = 1846077120 / 12
LCM(42960,42972) = 153839760

Least Common Multiple (LCM) of 42960 and 42972 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42960 and 42972. First we will calculate the prime factors of 42960 and 42972.

Prime Factorization of 42960

Prime Factorization of 42972

Now multiplying the highest exponent prime factors to calculate the LCM of 42960 and 42972.

LCM(42960,42972) = 2⁴ × 3¹ × 5¹ × 179¹ × 3581¹
LCM(42960,42972) = 153839760