What is the Least Common Multiple of 98648 and 98657?

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 98648 and 98657 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98648 and 98657, than apply into the LCM equation.

GCF(98648,98657) = 1
LCM(98648,98657) = ( 98648 × 98657) / 1
LCM(98648,98657) = 9732315736 / 1
LCM(98648,98657) = 9732315736

Least Common Multiple (LCM) of 98648 and 98657 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98648 and 98657. First we will calculate the prime factors of 98648 and 98657.

Prime Factorization of 98648

Prime Factorization of 98657

Now multiplying the highest exponent prime factors to calculate the LCM of 98648 and 98657.

LCM(98648,98657) = 2³ × 11¹ × 19¹ × 59¹ × 13¹ × 7589¹
LCM(98648,98657) = 9732315736