What is the Least Common Multiple of 98677 and 98683?

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 98677 and 98683 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98677 and 98683, than apply into the LCM equation.

GCF(98677,98683) = 1
LCM(98677,98683) = ( 98677 × 98683) / 1
LCM(98677,98683) = 9737742391 / 1
LCM(98677,98683) = 9737742391

Least Common Multiple (LCM) of 98677 and 98683 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98677 and 98683. First we will calculate the prime factors of 98677 and 98683.

Prime Factorization of 98677

Prime Factorization of 98683

Now multiplying the highest exponent prime factors to calculate the LCM of 98677 and 98683.

LCM(98677,98683) = 101¹ × 977¹ × 13¹ × 7591¹
LCM(98677,98683) = 9737742391