What is the Least Common Multiple of 37924 and 37939?

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 37924 and 37939 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37924 and 37939, than apply into the LCM equation.

GCF(37924,37939) = 1
LCM(37924,37939) = ( 37924 × 37939) / 1
LCM(37924,37939) = 1438798636 / 1
LCM(37924,37939) = 1438798636

Least Common Multiple (LCM) of 37924 and 37939 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37924 and 37939. First we will calculate the prime factors of 37924 and 37939.

Prime Factorization of 37924

Prime Factorization of 37939

Now multiplying the highest exponent prime factors to calculate the LCM of 37924 and 37939.

LCM(37924,37939) = 2² × 19¹ × 499¹ × 11¹ × 3449¹
LCM(37924,37939) = 1438798636