What is the Least Common Multiple of 88400 and 88414?

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 88400 and 88414 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88400 and 88414, than apply into the LCM equation.

GCF(88400,88414) = 2
LCM(88400,88414) = ( 88400 × 88414) / 2
LCM(88400,88414) = 7815797600 / 2
LCM(88400,88414) = 3907898800

Least Common Multiple (LCM) of 88400 and 88414 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88400 and 88414. First we will calculate the prime factors of 88400 and 88414.

Prime Factorization of 88400

Prime Factorization of 88414

Now multiplying the highest exponent prime factors to calculate the LCM of 88400 and 88414.

LCM(88400,88414) = 2⁴ × 5² × 13¹ × 17¹ × 44207¹
LCM(88400,88414) = 3907898800