What is the Least Common Multiple of 29940 and 29946?

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 29946 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 29946, than apply into the LCM equation.

GCF(29940,29946) = 6
LCM(29940,29946) = ( 29940 × 29946) / 6
LCM(29940,29946) = 896583240 / 6
LCM(29940,29946) = 149430540

Least Common Multiple (LCM) of 29940 and 29946 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29940 and 29946. First we will calculate the prime factors of 29940 and 29946.

Prime Factorization of 29940

Prime Factorization of 29946

Now multiplying the highest exponent prime factors to calculate the LCM of 29940 and 29946.

LCM(29940,29946) = 2² × 3¹ × 5¹ × 499¹ × 7¹ × 23¹ × 31¹
LCM(29940,29946) = 149430540