What is the Least Common Multiple of 99756 and 99770?

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 99770 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 99770, than apply into the LCM equation.

GCF(99756,99770) = 2
LCM(99756,99770) = ( 99756 × 99770) / 2
LCM(99756,99770) = 9952656120 / 2
LCM(99756,99770) = 4976328060

Least Common Multiple (LCM) of 99756 and 99770 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99756 and 99770. First we will calculate the prime factors of 99756 and 99770.

Prime Factorization of 99756

Prime Factorization of 99770

Now multiplying the highest exponent prime factors to calculate the LCM of 99756 and 99770.

LCM(99756,99770) = 2² × 3² × 17¹ × 163¹ × 5¹ × 11¹ × 907¹
LCM(99756,99770) = 4976328060