What is the Least Common Multiple of 93348 and 93352?

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 93348 and 93352 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93348 and 93352, than apply into the LCM equation.

GCF(93348,93352) = 4
LCM(93348,93352) = ( 93348 × 93352) / 4
LCM(93348,93352) = 8714222496 / 4
LCM(93348,93352) = 2178555624

Least Common Multiple (LCM) of 93348 and 93352 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93348 and 93352. First we will calculate the prime factors of 93348 and 93352.

Prime Factorization of 93348

Prime Factorization of 93352

Now multiplying the highest exponent prime factors to calculate the LCM of 93348 and 93352.

LCM(93348,93352) = 2³ × 3² × 2593¹ × 7¹ × 1667¹
LCM(93348,93352) = 2178555624