What is the Least Common Multiple of 52348 and 52352?

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 52348 and 52352 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52348 and 52352, than apply into the LCM equation.

GCF(52348,52352) = 4
LCM(52348,52352) = ( 52348 × 52352) / 4
LCM(52348,52352) = 2740522496 / 4
LCM(52348,52352) = 685130624

Least Common Multiple (LCM) of 52348 and 52352 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52348 and 52352. First we will calculate the prime factors of 52348 and 52352.

Prime Factorization of 52348

Prime Factorization of 52352

Now multiplying the highest exponent prime factors to calculate the LCM of 52348 and 52352.

LCM(52348,52352) = 2⁷ × 23¹ × 569¹ × 409¹
LCM(52348,52352) = 685130624