What is the Least Common Multiple of 4356 and 4374?

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 4356 and 4374 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4356 and 4374, than apply into the LCM equation.

GCF(4356,4374) = 18
LCM(4356,4374) = ( 4356 × 4374) / 18
LCM(4356,4374) = 19053144 / 18
LCM(4356,4374) = 1058508

Least Common Multiple (LCM) of 4356 and 4374 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4356 and 4374. First we will calculate the prime factors of 4356 and 4374.

Prime Factorization of 4356

Prime Factorization of 4374

Now multiplying the highest exponent prime factors to calculate the LCM of 4356 and 4374.

LCM(4356,4374) = 2² × 3⁷ × 11²
LCM(4356,4374) = 1058508