What is the Least Common Multiple of 36924 and 36942?

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 36924 and 36942 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36924 and 36942, than apply into the LCM equation.

GCF(36924,36942) = 6
LCM(36924,36942) = ( 36924 × 36942) / 6
LCM(36924,36942) = 1364046408 / 6
LCM(36924,36942) = 227341068

Least Common Multiple (LCM) of 36924 and 36942 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36924 and 36942. First we will calculate the prime factors of 36924 and 36942.

Prime Factorization of 36924

Prime Factorization of 36942

Now multiplying the highest exponent prime factors to calculate the LCM of 36924 and 36942.

LCM(36924,36942) = 2² × 3¹ × 17¹ × 181¹ × 47¹ × 131¹
LCM(36924,36942) = 227341068