What is the Least Common Multiple of 42924 and 42942?

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 42924 and 42942 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42924 and 42942, than apply into the LCM equation.

GCF(42924,42942) = 6
LCM(42924,42942) = ( 42924 × 42942) / 6
LCM(42924,42942) = 1843242408 / 6
LCM(42924,42942) = 307207068

Least Common Multiple (LCM) of 42924 and 42942 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42924 and 42942. First we will calculate the prime factors of 42924 and 42942.

Prime Factorization of 42924

Prime Factorization of 42942

Now multiplying the highest exponent prime factors to calculate the LCM of 42924 and 42942.

LCM(42924,42942) = 2² × 3¹ × 7² × 73¹ × 17¹ × 421¹
LCM(42924,42942) = 307207068