What is the Least Common Multiple of 36792 and 36806?

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 36792 and 36806 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36792 and 36806, than apply into the LCM equation.

GCF(36792,36806) = 14
LCM(36792,36806) = ( 36792 × 36806) / 14
LCM(36792,36806) = 1354166352 / 14
LCM(36792,36806) = 96726168

Least Common Multiple (LCM) of 36792 and 36806 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36792 and 36806. First we will calculate the prime factors of 36792 and 36806.

Prime Factorization of 36792

Prime Factorization of 36806

Now multiplying the highest exponent prime factors to calculate the LCM of 36792 and 36806.

LCM(36792,36806) = 2³ × 3² × 7¹ × 73¹ × 11¹ × 239¹
LCM(36792,36806) = 96726168