What is the Least Common Multiple of 29940 and 29959?

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 29940 and 29959 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29940 and 29959, than apply into the LCM equation.

GCF(29940,29959) = 1
LCM(29940,29959) = ( 29940 × 29959) / 1
LCM(29940,29959) = 896972460 / 1
LCM(29940,29959) = 896972460

Least Common Multiple (LCM) of 29940 and 29959 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29940 and 29959. First we will calculate the prime factors of 29940 and 29959.

Prime Factorization of 29940

Prime Factorization of 29959

Now multiplying the highest exponent prime factors to calculate the LCM of 29940 and 29959.

LCM(29940,29959) = 2² × 3¹ × 5¹ × 499¹ × 29959¹
LCM(29940,29959) = 896972460