What is the Least Common Multiple of 29931 and 29942?

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 29931 and 29942 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29931 and 29942, than apply into the LCM equation.

GCF(29931,29942) = 11
LCM(29931,29942) = ( 29931 × 29942) / 11
LCM(29931,29942) = 896194002 / 11
LCM(29931,29942) = 81472182

Least Common Multiple (LCM) of 29931 and 29942 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29931 and 29942. First we will calculate the prime factors of 29931 and 29942.

Prime Factorization of 29931

Prime Factorization of 29942

Now multiplying the highest exponent prime factors to calculate the LCM of 29931 and 29942.

LCM(29931,29942) = 3¹ × 11¹ × 907¹ × 2¹ × 1361¹
LCM(29931,29942) = 81472182