What is the Least Common Multiple of 98949 and 98966?

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 98949 and 98966 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98949 and 98966, than apply into the LCM equation.

GCF(98949,98966) = 1
LCM(98949,98966) = ( 98949 × 98966) / 1
LCM(98949,98966) = 9792586734 / 1
LCM(98949,98966) = 9792586734

Least Common Multiple (LCM) of 98949 and 98966 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98949 and 98966. First we will calculate the prime factors of 98949 and 98966.

Prime Factorization of 98949

Prime Factorization of 98966

Now multiplying the highest exponent prime factors to calculate the LCM of 98949 and 98966.

LCM(98949,98966) = 3¹ × 32983¹ × 2¹ × 7¹ × 7069¹
LCM(98949,98966) = 9792586734