What is the Least Common Multiple of 98624 and 98632?

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 98624 and 98632 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98624 and 98632, than apply into the LCM equation.

GCF(98624,98632) = 8
LCM(98624,98632) = ( 98624 × 98632) / 8
LCM(98624,98632) = 9727482368 / 8
LCM(98624,98632) = 1215935296

Least Common Multiple (LCM) of 98624 and 98632 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98624 and 98632. First we will calculate the prime factors of 98624 and 98632.

Prime Factorization of 98624

Prime Factorization of 98632

Now multiplying the highest exponent prime factors to calculate the LCM of 98624 and 98632.

LCM(98624,98632) = 2⁶ × 23¹ × 67¹ × 12329¹
LCM(98624,98632) = 1215935296