What is the Least Common Multiple of 98688 and 98700?

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 98688 and 98700 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98688 and 98700, than apply into the LCM equation.

GCF(98688,98700) = 12
LCM(98688,98700) = ( 98688 × 98700) / 12
LCM(98688,98700) = 9740505600 / 12
LCM(98688,98700) = 811708800

Least Common Multiple (LCM) of 98688 and 98700 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98688 and 98700. First we will calculate the prime factors of 98688 and 98700.

Prime Factorization of 98688

Prime Factorization of 98700

Now multiplying the highest exponent prime factors to calculate the LCM of 98688 and 98700.

LCM(98688,98700) = 2⁷ × 3¹ × 257¹ × 5² × 7¹ × 47¹
LCM(98688,98700) = 811708800