What is the Least Common Multiple of 96985 and 96991?

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 96985 and 96991 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96985 and 96991, than apply into the LCM equation.

GCF(96985,96991) = 1
LCM(96985,96991) = ( 96985 × 96991) / 1
LCM(96985,96991) = 9406672135 / 1
LCM(96985,96991) = 9406672135

Least Common Multiple (LCM) of 96985 and 96991 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96985 and 96991. First we will calculate the prime factors of 96985 and 96991.

Prime Factorization of 96985

Prime Factorization of 96991

Now multiplying the highest exponent prime factors to calculate the LCM of 96985 and 96991.

LCM(96985,96991) = 5¹ × 7¹ × 17¹ × 163¹ × 23¹ × 4217¹
LCM(96985,96991) = 9406672135