What is the Least Common Multiple of 99400 and 99408?

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 99400 and 99408 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99400 and 99408, than apply into the LCM equation.

GCF(99400,99408) = 8
LCM(99400,99408) = ( 99400 × 99408) / 8
LCM(99400,99408) = 9881155200 / 8
LCM(99400,99408) = 1235144400

Least Common Multiple (LCM) of 99400 and 99408 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99400 and 99408. First we will calculate the prime factors of 99400 and 99408.

Prime Factorization of 99400

Prime Factorization of 99408

Now multiplying the highest exponent prime factors to calculate the LCM of 99400 and 99408.

LCM(99400,99408) = 2⁴ × 5² × 7¹ × 71¹ × 3¹ × 19¹ × 109¹
LCM(99400,99408) = 1235144400