What is the Least Common Multiple of 55944 and 55962?

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 55944 and 55962 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55944 and 55962, than apply into the LCM equation.

GCF(55944,55962) = 18
LCM(55944,55962) = ( 55944 × 55962) / 18
LCM(55944,55962) = 3130738128 / 18
LCM(55944,55962) = 173929896

Least Common Multiple (LCM) of 55944 and 55962 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55944 and 55962. First we will calculate the prime factors of 55944 and 55962.

Prime Factorization of 55944

Prime Factorization of 55962

Now multiplying the highest exponent prime factors to calculate the LCM of 55944 and 55962.

LCM(55944,55962) = 2³ × 3³ × 7¹ × 37¹ × 3109¹
LCM(55944,55962) = 173929896