What is the Least Common Multiple of 7924 and 7942?

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 7924 and 7942 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7924 and 7942, than apply into the LCM equation.

GCF(7924,7942) = 2
LCM(7924,7942) = ( 7924 × 7942) / 2
LCM(7924,7942) = 62932408 / 2
LCM(7924,7942) = 31466204

Least Common Multiple (LCM) of 7924 and 7942 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7924 and 7942. First we will calculate the prime factors of 7924 and 7942.

Prime Factorization of 7924

Prime Factorization of 7942

Now multiplying the highest exponent prime factors to calculate the LCM of 7924 and 7942.

LCM(7924,7942) = 2² × 7¹ × 283¹ × 11¹ × 19²
LCM(7924,7942) = 31466204