What is the Least Common Multiple of 99700 and 99712?

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 99712 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 99712, than apply into the LCM equation.

GCF(99700,99712) = 4
LCM(99700,99712) = ( 99700 × 99712) / 4
LCM(99700,99712) = 9941286400 / 4
LCM(99700,99712) = 2485321600

Least Common Multiple (LCM) of 99700 and 99712 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99700 and 99712. First we will calculate the prime factors of 99700 and 99712.

Prime Factorization of 99700

Prime Factorization of 99712

Now multiplying the highest exponent prime factors to calculate the LCM of 99700 and 99712.

LCM(99700,99712) = 2⁷ × 5² × 997¹ × 19¹ × 41¹
LCM(99700,99712) = 2485321600