What is the Least Common Multiple of 98700 and 98708?

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 98700 and 98708 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98700 and 98708, than apply into the LCM equation.

GCF(98700,98708) = 4
LCM(98700,98708) = ( 98700 × 98708) / 4
LCM(98700,98708) = 9742479600 / 4
LCM(98700,98708) = 2435619900

Least Common Multiple (LCM) of 98700 and 98708 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98700 and 98708. First we will calculate the prime factors of 98700 and 98708.

Prime Factorization of 98700

Prime Factorization of 98708

Now multiplying the highest exponent prime factors to calculate the LCM of 98700 and 98708.

LCM(98700,98708) = 2² × 3¹ × 5² × 7¹ × 47¹ × 24677¹
LCM(98700,98708) = 2435619900