What is the Least Common Multiple of 37924 and 37940?

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 37940 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 37940, than apply into the LCM equation.

GCF(37924,37940) = 4
LCM(37924,37940) = ( 37924 × 37940) / 4
LCM(37924,37940) = 1438836560 / 4
LCM(37924,37940) = 359709140

Least Common Multiple (LCM) of 37924 and 37940 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37924 and 37940. First we will calculate the prime factors of 37924 and 37940.

Prime Factorization of 37924

Prime Factorization of 37940

Now multiplying the highest exponent prime factors to calculate the LCM of 37924 and 37940.

LCM(37924,37940) = 2² × 19¹ × 499¹ × 5¹ × 7¹ × 271¹
LCM(37924,37940) = 359709140