What is the Least Common Multiple of 98706 and 98724?

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 98706 and 98724 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98706 and 98724, than apply into the LCM equation.

GCF(98706,98724) = 6
LCM(98706,98724) = ( 98706 × 98724) / 6
LCM(98706,98724) = 9744651144 / 6
LCM(98706,98724) = 1624108524

Least Common Multiple (LCM) of 98706 and 98724 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98706 and 98724. First we will calculate the prime factors of 98706 and 98724.

Prime Factorization of 98706

Prime Factorization of 98724

Now multiplying the highest exponent prime factors to calculate the LCM of 98706 and 98724.

LCM(98706,98724) = 2² × 3¹ × 16451¹ × 19¹ × 433¹
LCM(98706,98724) = 1624108524