What is the Least Common Multiple of 98640 and 98658?

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 98640 and 98658 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98640 and 98658, than apply into the LCM equation.

GCF(98640,98658) = 18
LCM(98640,98658) = ( 98640 × 98658) / 18
LCM(98640,98658) = 9731625120 / 18
LCM(98640,98658) = 540645840

Least Common Multiple (LCM) of 98640 and 98658 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98640 and 98658. First we will calculate the prime factors of 98640 and 98658.

Prime Factorization of 98640

Prime Factorization of 98658

Now multiplying the highest exponent prime factors to calculate the LCM of 98640 and 98658.

LCM(98640,98658) = 2⁴ × 3⁵ × 5¹ × 137¹ × 7¹ × 29¹
LCM(98640,98658) = 540645840