What is the Least Common Multiple of 98624 and 98643?

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 98643 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 98643, than apply into the LCM equation.

GCF(98624,98643) = 1
LCM(98624,98643) = ( 98624 × 98643) / 1
LCM(98624,98643) = 9728567232 / 1
LCM(98624,98643) = 9728567232

Least Common Multiple (LCM) of 98624 and 98643 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98624 and 98643. First we will calculate the prime factors of 98624 and 98643.

Prime Factorization of 98624

Prime Factorization of 98643

Now multiplying the highest exponent prime factors to calculate the LCM of 98624 and 98643.

LCM(98624,98643) = 2⁶ × 23¹ × 67¹ × 3¹ × 131¹ × 251¹
LCM(98624,98643) = 9728567232