What is the Least Common Multiple of 95664 and 95670?

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 95664 and 95670 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95664 and 95670, than apply into the LCM equation.

GCF(95664,95670) = 6
LCM(95664,95670) = ( 95664 × 95670) / 6
LCM(95664,95670) = 9152174880 / 6
LCM(95664,95670) = 1525362480

Least Common Multiple (LCM) of 95664 and 95670 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95664 and 95670. First we will calculate the prime factors of 95664 and 95670.

Prime Factorization of 95664

Prime Factorization of 95670

Now multiplying the highest exponent prime factors to calculate the LCM of 95664 and 95670.

LCM(95664,95670) = 2⁴ × 3² × 1993¹ × 5¹ × 1063¹
LCM(95664,95670) = 1525362480