What is the Least Common Multiple of 74688 and 74705?

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 74688 and 74705 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74688 and 74705, than apply into the LCM equation.

GCF(74688,74705) = 1
LCM(74688,74705) = ( 74688 × 74705) / 1
LCM(74688,74705) = 5579567040 / 1
LCM(74688,74705) = 5579567040

Least Common Multiple (LCM) of 74688 and 74705 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74688 and 74705. First we will calculate the prime factors of 74688 and 74705.

Prime Factorization of 74688

Prime Factorization of 74705

Now multiplying the highest exponent prime factors to calculate the LCM of 74688 and 74705.

LCM(74688,74705) = 2⁶ × 3¹ × 389¹ × 5¹ × 67¹ × 223¹
LCM(74688,74705) = 5579567040