What is the Least Common Multiple of 96672 and 96690?

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 96672 and 96690 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96672 and 96690, than apply into the LCM equation.

GCF(96672,96690) = 6
LCM(96672,96690) = ( 96672 × 96690) / 6
LCM(96672,96690) = 9347215680 / 6
LCM(96672,96690) = 1557869280

Least Common Multiple (LCM) of 96672 and 96690 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96672 and 96690. First we will calculate the prime factors of 96672 and 96690.

Prime Factorization of 96672

Prime Factorization of 96690

Now multiplying the highest exponent prime factors to calculate the LCM of 96672 and 96690.

LCM(96672,96690) = 2⁵ × 3¹ × 19¹ × 53¹ × 5¹ × 11¹ × 293¹
LCM(96672,96690) = 1557869280