What is the Least Common Multiple of 81648 and 81657?

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 81648 and 81657 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81648 and 81657, than apply into the LCM equation.

GCF(81648,81657) = 9
LCM(81648,81657) = ( 81648 × 81657) / 9
LCM(81648,81657) = 6667130736 / 9
LCM(81648,81657) = 740792304

Least Common Multiple (LCM) of 81648 and 81657 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81648 and 81657. First we will calculate the prime factors of 81648 and 81657.

Prime Factorization of 81648

Prime Factorization of 81657

Now multiplying the highest exponent prime factors to calculate the LCM of 81648 and 81657.

LCM(81648,81657) = 2⁴ × 3⁶ × 7¹ × 43¹ × 211¹
LCM(81648,81657) = 740792304