What is the Least Common Multiple of 98720 and 98740?

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 98720 and 98740 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98720 and 98740, than apply into the LCM equation.

GCF(98720,98740) = 20
LCM(98720,98740) = ( 98720 × 98740) / 20
LCM(98720,98740) = 9747612800 / 20
LCM(98720,98740) = 487380640

Least Common Multiple (LCM) of 98720 and 98740 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98720 and 98740. First we will calculate the prime factors of 98720 and 98740.

Prime Factorization of 98720

Prime Factorization of 98740

Now multiplying the highest exponent prime factors to calculate the LCM of 98720 and 98740.

LCM(98720,98740) = 2⁵ × 5¹ × 617¹ × 4937¹
LCM(98720,98740) = 487380640