What is the Least Common Multiple of 96980 and 96995?

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 96980 and 96995 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96980 and 96995, than apply into the LCM equation.

GCF(96980,96995) = 5
LCM(96980,96995) = ( 96980 × 96995) / 5
LCM(96980,96995) = 9406575100 / 5
LCM(96980,96995) = 1881315020

Least Common Multiple (LCM) of 96980 and 96995 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96980 and 96995. First we will calculate the prime factors of 96980 and 96995.

Prime Factorization of 96980

Prime Factorization of 96995

Now multiplying the highest exponent prime factors to calculate the LCM of 96980 and 96995.

LCM(96980,96995) = 2² × 5¹ × 13¹ × 373¹ × 19¹ × 1021¹
LCM(96980,96995) = 1881315020