What is the Least Common Multiple of 36924 and 36941?

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 36941 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 36941, than apply into the LCM equation.

GCF(36924,36941) = 17
LCM(36924,36941) = ( 36924 × 36941) / 17
LCM(36924,36941) = 1364009484 / 17
LCM(36924,36941) = 80235852

Least Common Multiple (LCM) of 36924 and 36941 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36924 and 36941. First we will calculate the prime factors of 36924 and 36941.

Prime Factorization of 36924

Prime Factorization of 36941

Now multiplying the highest exponent prime factors to calculate the LCM of 36924 and 36941.

LCM(36924,36941) = 2² × 3¹ × 17¹ × 181¹ × 41¹ × 53¹
LCM(36924,36941) = 80235852