What is the Least Common Multiple of 4352 and 4372?

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 4352 and 4372 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4352 and 4372, than apply into the LCM equation.

GCF(4352,4372) = 4
LCM(4352,4372) = ( 4352 × 4372) / 4
LCM(4352,4372) = 19026944 / 4
LCM(4352,4372) = 4756736

Least Common Multiple (LCM) of 4352 and 4372 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4352 and 4372. First we will calculate the prime factors of 4352 and 4372.

Prime Factorization of 4352

Prime Factorization of 4372

Now multiplying the highest exponent prime factors to calculate the LCM of 4352 and 4372.

LCM(4352,4372) = 2⁸ × 17¹ × 1093¹
LCM(4352,4372) = 4756736