What is the Least Common Multiple of 99638 and 99648?

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 99638 and 99648 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99638 and 99648, than apply into the LCM equation.

GCF(99638,99648) = 2
LCM(99638,99648) = ( 99638 × 99648) / 2
LCM(99638,99648) = 9928727424 / 2
LCM(99638,99648) = 4964363712

Least Common Multiple (LCM) of 99638 and 99648 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99638 and 99648. First we will calculate the prime factors of 99638 and 99648.

Prime Factorization of 99638

Prime Factorization of 99648

Now multiplying the highest exponent prime factors to calculate the LCM of 99638 and 99648.

LCM(99638,99648) = 2⁶ × 7¹ × 11¹ × 647¹ × 3² × 173¹
LCM(99638,99648) = 4964363712