What is the Least Common Multiple of 37936 and 37956?

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 37936 and 37956 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37936 and 37956, than apply into the LCM equation.

GCF(37936,37956) = 4
LCM(37936,37956) = ( 37936 × 37956) / 4
LCM(37936,37956) = 1439898816 / 4
LCM(37936,37956) = 359974704

Least Common Multiple (LCM) of 37936 and 37956 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37936 and 37956. First we will calculate the prime factors of 37936 and 37956.

Prime Factorization of 37936

Prime Factorization of 37956

Now multiplying the highest exponent prime factors to calculate the LCM of 37936 and 37956.

LCM(37936,37956) = 2⁴ × 2371¹ × 3¹ × 3163¹
LCM(37936,37956) = 359974704