What is the Least Common Multiple of 13968 and 13977?

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 13968 and 13977 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13968 and 13977, than apply into the LCM equation.

GCF(13968,13977) = 9
LCM(13968,13977) = ( 13968 × 13977) / 9
LCM(13968,13977) = 195230736 / 9
LCM(13968,13977) = 21692304

Least Common Multiple (LCM) of 13968 and 13977 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13968 and 13977. First we will calculate the prime factors of 13968 and 13977.

Prime Factorization of 13968

Prime Factorization of 13977

Now multiplying the highest exponent prime factors to calculate the LCM of 13968 and 13977.

LCM(13968,13977) = 2⁴ × 3² × 97¹ × 1553¹
LCM(13968,13977) = 21692304