What is the Least Common Multiple of 98608 and 98624?

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 98608 and 98624 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98608 and 98624, than apply into the LCM equation.

GCF(98608,98624) = 16
LCM(98608,98624) = ( 98608 × 98624) / 16
LCM(98608,98624) = 9725115392 / 16
LCM(98608,98624) = 607819712

Least Common Multiple (LCM) of 98608 and 98624 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98608 and 98624. First we will calculate the prime factors of 98608 and 98624.

Prime Factorization of 98608

Prime Factorization of 98624

Now multiplying the highest exponent prime factors to calculate the LCM of 98608 and 98624.

LCM(98608,98624) = 2⁶ × 6163¹ × 23¹ × 67¹
LCM(98608,98624) = 607819712