What is the Least Common Multiple of 98657 and 98668?

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 98657 and 98668 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98657 and 98668, than apply into the LCM equation.

GCF(98657,98668) = 1
LCM(98657,98668) = ( 98657 × 98668) / 1
LCM(98657,98668) = 9734288876 / 1
LCM(98657,98668) = 9734288876

Least Common Multiple (LCM) of 98657 and 98668 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98657 and 98668. First we will calculate the prime factors of 98657 and 98668.

Prime Factorization of 98657

Prime Factorization of 98668

Now multiplying the highest exponent prime factors to calculate the LCM of 98657 and 98668.

LCM(98657,98668) = 13¹ × 7589¹ × 2² × 17¹ × 1451¹
LCM(98657,98668) = 9734288876