What is the Least Common Multiple of 99756 and 99760?

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 99756 and 99760 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99756 and 99760, than apply into the LCM equation.

GCF(99756,99760) = 4
LCM(99756,99760) = ( 99756 × 99760) / 4
LCM(99756,99760) = 9951658560 / 4
LCM(99756,99760) = 2487914640

Least Common Multiple (LCM) of 99756 and 99760 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99756 and 99760. First we will calculate the prime factors of 99756 and 99760.

Prime Factorization of 99756

Prime Factorization of 99760

Now multiplying the highest exponent prime factors to calculate the LCM of 99756 and 99760.

LCM(99756,99760) = 2⁴ × 3² × 17¹ × 163¹ × 5¹ × 29¹ × 43¹
LCM(99756,99760) = 2487914640