What is the Least Common Multiple of 98708 and 98726?

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 98708 and 98726 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98708 and 98726, than apply into the LCM equation.

GCF(98708,98726) = 2
LCM(98708,98726) = ( 98708 × 98726) / 2
LCM(98708,98726) = 9745046008 / 2
LCM(98708,98726) = 4872523004

Least Common Multiple (LCM) of 98708 and 98726 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98708 and 98726. First we will calculate the prime factors of 98708 and 98726.

Prime Factorization of 98708

Prime Factorization of 98726

Now multiplying the highest exponent prime factors to calculate the LCM of 98708 and 98726.

LCM(98708,98726) = 2² × 24677¹ × 49363¹
LCM(98708,98726) = 4872523004