What is the Least Common Multiple of 98657 and 98662?

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 98662 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 98662, than apply into the LCM equation.

GCF(98657,98662) = 1
LCM(98657,98662) = ( 98657 × 98662) / 1
LCM(98657,98662) = 9733696934 / 1
LCM(98657,98662) = 9733696934

Least Common Multiple (LCM) of 98657 and 98662 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98657 and 98662. First we will calculate the prime factors of 98657 and 98662.

Prime Factorization of 98657

Prime Factorization of 98662

Now multiplying the highest exponent prime factors to calculate the LCM of 98657 and 98662.

LCM(98657,98662) = 13¹ × 7589¹ × 2¹ × 49331¹
LCM(98657,98662) = 9733696934