What is the Least Common Multiple of 52312 and 52320?

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 52312 and 52320 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52312 and 52320, than apply into the LCM equation.

GCF(52312,52320) = 8
LCM(52312,52320) = ( 52312 × 52320) / 8
LCM(52312,52320) = 2736963840 / 8
LCM(52312,52320) = 342120480

Least Common Multiple (LCM) of 52312 and 52320 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52312 and 52320. First we will calculate the prime factors of 52312 and 52320.

Prime Factorization of 52312

Prime Factorization of 52320

Now multiplying the highest exponent prime factors to calculate the LCM of 52312 and 52320.

LCM(52312,52320) = 2⁵ × 13¹ × 503¹ × 3¹ × 5¹ × 109¹
LCM(52312,52320) = 342120480