What is the Least Common Multiple of 99435 and 99440?

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 99435 and 99440 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99435 and 99440, than apply into the LCM equation.

GCF(99435,99440) = 5
LCM(99435,99440) = ( 99435 × 99440) / 5
LCM(99435,99440) = 9887816400 / 5
LCM(99435,99440) = 1977563280

Least Common Multiple (LCM) of 99435 and 99440 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99435 and 99440. First we will calculate the prime factors of 99435 and 99440.

Prime Factorization of 99435

Prime Factorization of 99440

Now multiplying the highest exponent prime factors to calculate the LCM of 99435 and 99440.

LCM(99435,99440) = 3¹ × 5¹ × 7¹ × 947¹ × 2⁴ × 11¹ × 113¹
LCM(99435,99440) = 1977563280