What is the Least Common Multiple of 99088 and 99102?

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 99088 and 99102 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99088 and 99102, than apply into the LCM equation.

GCF(99088,99102) = 2
LCM(99088,99102) = ( 99088 × 99102) / 2
LCM(99088,99102) = 9819818976 / 2
LCM(99088,99102) = 4909909488

Least Common Multiple (LCM) of 99088 and 99102 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99088 and 99102. First we will calculate the prime factors of 99088 and 99102.

Prime Factorization of 99088

Prime Factorization of 99102

Now multiplying the highest exponent prime factors to calculate the LCM of 99088 and 99102.

LCM(99088,99102) = 2⁴ × 11¹ × 563¹ × 3¹ × 83¹ × 199¹
LCM(99088,99102) = 4909909488