What is the Least Common Multiple of 37926 and 37936?

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 37926 and 37936 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37926 and 37936, than apply into the LCM equation.

GCF(37926,37936) = 2
LCM(37926,37936) = ( 37926 × 37936) / 2
LCM(37926,37936) = 1438760736 / 2
LCM(37926,37936) = 719380368

Least Common Multiple (LCM) of 37926 and 37936 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37926 and 37936. First we will calculate the prime factors of 37926 and 37936.

Prime Factorization of 37926

Prime Factorization of 37936

Now multiplying the highest exponent prime factors to calculate the LCM of 37926 and 37936.

LCM(37926,37936) = 2⁴ × 3² × 7² × 43¹ × 2371¹
LCM(37926,37936) = 719380368