What is the Least Common Multiple of 99484 and 99490?

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 99484 and 99490 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99484 and 99490, than apply into the LCM equation.

GCF(99484,99490) = 2
LCM(99484,99490) = ( 99484 × 99490) / 2
LCM(99484,99490) = 9897663160 / 2
LCM(99484,99490) = 4948831580

Least Common Multiple (LCM) of 99484 and 99490 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99484 and 99490. First we will calculate the prime factors of 99484 and 99490.

Prime Factorization of 99484

Prime Factorization of 99490

Now multiplying the highest exponent prime factors to calculate the LCM of 99484 and 99490.

LCM(99484,99490) = 2² × 7¹ × 11¹ × 17¹ × 19¹ × 5¹ × 9949¹
LCM(99484,99490) = 4948831580