What is the Least Common Multiple of 96642 and 96648?

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 96642 and 96648 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96642 and 96648, than apply into the LCM equation.

GCF(96642,96648) = 6
LCM(96642,96648) = ( 96642 × 96648) / 6
LCM(96642,96648) = 9340256016 / 6
LCM(96642,96648) = 1556709336

Least Common Multiple (LCM) of 96642 and 96648 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96642 and 96648. First we will calculate the prime factors of 96642 and 96648.

Prime Factorization of 96642

Prime Factorization of 96648

Now multiplying the highest exponent prime factors to calculate the LCM of 96642 and 96648.

LCM(96642,96648) = 2³ × 3² × 7¹ × 13¹ × 59¹ × 4027¹
LCM(96642,96648) = 1556709336