What is the Least Common Multiple of 99280 and 99288?

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 99280 and 99288 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99280 and 99288, than apply into the LCM equation.

GCF(99280,99288) = 8
LCM(99280,99288) = ( 99280 × 99288) / 8
LCM(99280,99288) = 9857312640 / 8
LCM(99280,99288) = 1232164080

Least Common Multiple (LCM) of 99280 and 99288 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99280 and 99288. First we will calculate the prime factors of 99280 and 99288.

Prime Factorization of 99280

Prime Factorization of 99288

Now multiplying the highest exponent prime factors to calculate the LCM of 99280 and 99288.

LCM(99280,99288) = 2⁴ × 5¹ × 17¹ × 73¹ × 3² × 7¹ × 197¹
LCM(99280,99288) = 1232164080