What is the Least Common Multiple of 99700 and 99705?

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 99700 and 99705 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99700 and 99705, than apply into the LCM equation.

GCF(99700,99705) = 5
LCM(99700,99705) = ( 99700 × 99705) / 5
LCM(99700,99705) = 9940588500 / 5
LCM(99700,99705) = 1988117700

Least Common Multiple (LCM) of 99700 and 99705 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99700 and 99705. First we will calculate the prime factors of 99700 and 99705.

Prime Factorization of 99700

Prime Factorization of 99705

Now multiplying the highest exponent prime factors to calculate the LCM of 99700 and 99705.

LCM(99700,99705) = 2² × 5² × 997¹ × 3¹ × 17² × 23¹
LCM(99700,99705) = 1988117700