What is the Least Common Multiple of 98698 and 98715?

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 98698 and 98715 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98698 and 98715, than apply into the LCM equation.

GCF(98698,98715) = 1
LCM(98698,98715) = ( 98698 × 98715) / 1
LCM(98698,98715) = 9742973070 / 1
LCM(98698,98715) = 9742973070

Least Common Multiple (LCM) of 98698 and 98715 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98698 and 98715. First we will calculate the prime factors of 98698 and 98715.

Prime Factorization of 98698

Prime Factorization of 98715

Now multiplying the highest exponent prime factors to calculate the LCM of 98698 and 98715.

LCM(98698,98715) = 2¹ × 61¹ × 809¹ × 3¹ × 5¹ × 6581¹
LCM(98698,98715) = 9742973070