What is the Least Common Multiple of 9649 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 9649 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 9649 and 9658, than apply into the LCM equation.

GCF(9649,9658) = 1
LCM(9649,9658) = ( 9649 × 9658) / 1
LCM(9649,9658) = 93190042 / 1
LCM(9649,9658) = 93190042

Least Common Multiple (LCM) of 9649 and 9658 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9649 and 9658. First we will calculate the prime factors of 9649 and 9658.

Prime Factorization of 9649

Prime Factorization of 9658

Now multiplying the highest exponent prime factors to calculate the LCM of 9649 and 9658.

LCM(9649,9658) = 9649¹ × 2¹ × 11¹ × 439¹
LCM(9649,9658) = 93190042