What is the Least Common Multiple of 84672 and 84690?

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 84672 and 84690 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84672 and 84690, than apply into the LCM equation.

GCF(84672,84690) = 18
LCM(84672,84690) = ( 84672 × 84690) / 18
LCM(84672,84690) = 7170871680 / 18
LCM(84672,84690) = 398381760

Least Common Multiple (LCM) of 84672 and 84690 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84672 and 84690. First we will calculate the prime factors of 84672 and 84690.

Prime Factorization of 84672

Prime Factorization of 84690

Now multiplying the highest exponent prime factors to calculate the LCM of 84672 and 84690.

LCM(84672,84690) = 2⁶ × 3³ × 7² × 5¹ × 941¹
LCM(84672,84690) = 398381760