What is the Least Common Multiple of 98646 and 98661?

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 98646 and 98661 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98646 and 98661, than apply into the LCM equation.

GCF(98646,98661) = 3
LCM(98646,98661) = ( 98646 × 98661) / 3
LCM(98646,98661) = 9732513006 / 3
LCM(98646,98661) = 3244171002

Least Common Multiple (LCM) of 98646 and 98661 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98646 and 98661. First we will calculate the prime factors of 98646 and 98661.

Prime Factorization of 98646

Prime Factorization of 98661

Now multiplying the highest exponent prime factors to calculate the LCM of 98646 and 98661.

LCM(98646,98661) = 2¹ × 3¹ × 41¹ × 401¹ × 32887¹
LCM(98646,98661) = 3244171002