What is the Least Common Multiple of 99440 and 99445?

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 99440 and 99445 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99440 and 99445, than apply into the LCM equation.

GCF(99440,99445) = 5
LCM(99440,99445) = ( 99440 × 99445) / 5
LCM(99440,99445) = 9888810800 / 5
LCM(99440,99445) = 1977762160

Least Common Multiple (LCM) of 99440 and 99445 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99440 and 99445. First we will calculate the prime factors of 99440 and 99445.

Prime Factorization of 99440

Prime Factorization of 99445

Now multiplying the highest exponent prime factors to calculate the LCM of 99440 and 99445.

LCM(99440,99445) = 2⁴ × 5¹ × 11¹ × 113¹ × 19889¹
LCM(99440,99445) = 1977762160