What is the Least Common Multiple of 98688 and 98702?

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 98702 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 98702, than apply into the LCM equation.

GCF(98688,98702) = 2
LCM(98688,98702) = ( 98688 × 98702) / 2
LCM(98688,98702) = 9740702976 / 2
LCM(98688,98702) = 4870351488

Least Common Multiple (LCM) of 98688 and 98702 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98688 and 98702. First we will calculate the prime factors of 98688 and 98702.

Prime Factorization of 98688

Prime Factorization of 98702

Now multiplying the highest exponent prime factors to calculate the LCM of 98688 and 98702.

LCM(98688,98702) = 2⁷ × 3¹ × 257¹ × 17¹ × 2903¹
LCM(98688,98702) = 4870351488