What is the Least Common Multiple of 55312 and 55320?

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 55312 and 55320 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55312 and 55320, than apply into the LCM equation.

GCF(55312,55320) = 8
LCM(55312,55320) = ( 55312 × 55320) / 8
LCM(55312,55320) = 3059859840 / 8
LCM(55312,55320) = 382482480

Least Common Multiple (LCM) of 55312 and 55320 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55312 and 55320. First we will calculate the prime factors of 55312 and 55320.

Prime Factorization of 55312

Prime Factorization of 55320

Now multiplying the highest exponent prime factors to calculate the LCM of 55312 and 55320.

LCM(55312,55320) = 2⁴ × 3457¹ × 3¹ × 5¹ × 461¹
LCM(55312,55320) = 382482480