What is the Least Common Multiple of 29352 and 29360?

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 29352 and 29360 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29352 and 29360, than apply into the LCM equation.

GCF(29352,29360) = 8
LCM(29352,29360) = ( 29352 × 29360) / 8
LCM(29352,29360) = 861774720 / 8
LCM(29352,29360) = 107721840

Least Common Multiple (LCM) of 29352 and 29360 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29352 and 29360. First we will calculate the prime factors of 29352 and 29360.

Prime Factorization of 29352

Prime Factorization of 29360

Now multiplying the highest exponent prime factors to calculate the LCM of 29352 and 29360.

LCM(29352,29360) = 2⁴ × 3¹ × 1223¹ × 5¹ × 367¹
LCM(29352,29360) = 107721840