What is the Least Common Multiple of 36048 and 36056?

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 36048 and 36056 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36048 and 36056, than apply into the LCM equation.

GCF(36048,36056) = 8
LCM(36048,36056) = ( 36048 × 36056) / 8
LCM(36048,36056) = 1299746688 / 8
LCM(36048,36056) = 162468336

Least Common Multiple (LCM) of 36048 and 36056 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36048 and 36056. First we will calculate the prime factors of 36048 and 36056.

Prime Factorization of 36048

Prime Factorization of 36056

Now multiplying the highest exponent prime factors to calculate the LCM of 36048 and 36056.

LCM(36048,36056) = 2⁴ × 3¹ × 751¹ × 4507¹
LCM(36048,36056) = 162468336