What is the Least Common Multiple of 84675 and 84688?

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 84675 and 84688 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84675 and 84688, than apply into the LCM equation.

GCF(84675,84688) = 1
LCM(84675,84688) = ( 84675 × 84688) / 1
LCM(84675,84688) = 7170956400 / 1
LCM(84675,84688) = 7170956400

Least Common Multiple (LCM) of 84675 and 84688 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84675 and 84688. First we will calculate the prime factors of 84675 and 84688.

Prime Factorization of 84675

Prime Factorization of 84688

Now multiplying the highest exponent prime factors to calculate the LCM of 84675 and 84688.

LCM(84675,84688) = 3¹ × 5² × 1129¹ × 2⁴ × 67¹ × 79¹
LCM(84675,84688) = 7170956400