What is the Least Common Multiple of 9642 and 9658?

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 9642 and 9658 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9642 and 9658, than apply into the LCM equation.

GCF(9642,9658) = 2
LCM(9642,9658) = ( 9642 × 9658) / 2
LCM(9642,9658) = 93122436 / 2
LCM(9642,9658) = 46561218

Least Common Multiple (LCM) of 9642 and 9658 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9642 and 9658. First we will calculate the prime factors of 9642 and 9658.

Prime Factorization of 9642

Prime Factorization of 9658

Now multiplying the highest exponent prime factors to calculate the LCM of 9642 and 9658.

LCM(9642,9658) = 2¹ × 3¹ × 1607¹ × 11¹ × 439¹
LCM(9642,9658) = 46561218