What is the Least Common Multiple of 99076 and 99088?

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 99076 and 99088 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99076 and 99088, than apply into the LCM equation.

GCF(99076,99088) = 4
LCM(99076,99088) = ( 99076 × 99088) / 4
LCM(99076,99088) = 9817242688 / 4
LCM(99076,99088) = 2454310672

Least Common Multiple (LCM) of 99076 and 99088 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99076 and 99088. First we will calculate the prime factors of 99076 and 99088.

Prime Factorization of 99076

Prime Factorization of 99088

Now multiplying the highest exponent prime factors to calculate the LCM of 99076 and 99088.

LCM(99076,99088) = 2⁴ × 17¹ × 31¹ × 47¹ × 11¹ × 563¹
LCM(99076,99088) = 2454310672