What is the Least Common Multiple of 37692 and 37712?

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 37692 and 37712 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37692 and 37712, than apply into the LCM equation.

GCF(37692,37712) = 4
LCM(37692,37712) = ( 37692 × 37712) / 4
LCM(37692,37712) = 1421440704 / 4
LCM(37692,37712) = 355360176

Least Common Multiple (LCM) of 37692 and 37712 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37692 and 37712. First we will calculate the prime factors of 37692 and 37712.

Prime Factorization of 37692

Prime Factorization of 37712

Now multiplying the highest exponent prime factors to calculate the LCM of 37692 and 37712.

LCM(37692,37712) = 2⁴ × 3³ × 349¹ × 2357¹
LCM(37692,37712) = 355360176