What is the Least Common Multiple of 74688 and 74706?

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 74706 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 74706, than apply into the LCM equation.

GCF(74688,74706) = 6
LCM(74688,74706) = ( 74688 × 74706) / 6
LCM(74688,74706) = 5579641728 / 6
LCM(74688,74706) = 929940288

Least Common Multiple (LCM) of 74688 and 74706 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74688 and 74706. First we will calculate the prime factors of 74688 and 74706.

Prime Factorization of 74688

Prime Factorization of 74706

Now multiplying the highest exponent prime factors to calculate the LCM of 74688 and 74706.

LCM(74688,74706) = 2⁶ × 3¹ × 389¹ × 12451¹
LCM(74688,74706) = 929940288