What is the Least Common Multiple of 88382 and 88400?

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 88382 and 88400 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88382 and 88400, than apply into the LCM equation.

GCF(88382,88400) = 2
LCM(88382,88400) = ( 88382 × 88400) / 2
LCM(88382,88400) = 7812968800 / 2
LCM(88382,88400) = 3906484400

Least Common Multiple (LCM) of 88382 and 88400 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88382 and 88400. First we will calculate the prime factors of 88382 and 88400.

Prime Factorization of 88382

Prime Factorization of 88400

Now multiplying the highest exponent prime factors to calculate the LCM of 88382 and 88400.

LCM(88382,88400) = 2⁴ × 7¹ × 59¹ × 107¹ × 5² × 13¹ × 17¹
LCM(88382,88400) = 3906484400