What is the Least Common Multiple of 8352 and 8370?

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 8352 and 8370 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8352 and 8370, than apply into the LCM equation.

GCF(8352,8370) = 18
LCM(8352,8370) = ( 8352 × 8370) / 18
LCM(8352,8370) = 69906240 / 18
LCM(8352,8370) = 3883680

Least Common Multiple (LCM) of 8352 and 8370 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8352 and 8370. First we will calculate the prime factors of 8352 and 8370.

Prime Factorization of 8352

Prime Factorization of 8370

Now multiplying the highest exponent prime factors to calculate the LCM of 8352 and 8370.

LCM(8352,8370) = 2⁵ × 3³ × 29¹ × 5¹ × 31¹
LCM(8352,8370) = 3883680