What is the Least Common Multiple of 55398 and 55416?

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 55398 and 55416 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55398 and 55416, than apply into the LCM equation.

GCF(55398,55416) = 6
LCM(55398,55416) = ( 55398 × 55416) / 6
LCM(55398,55416) = 3069935568 / 6
LCM(55398,55416) = 511655928

Least Common Multiple (LCM) of 55398 and 55416 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55398 and 55416. First we will calculate the prime factors of 55398 and 55416.

Prime Factorization of 55398

Prime Factorization of 55416

Now multiplying the highest exponent prime factors to calculate the LCM of 55398 and 55416.

LCM(55398,55416) = 2³ × 3¹ × 7¹ × 1319¹ × 2309¹
LCM(55398,55416) = 511655928