What is the Least Common Multiple of 94400 and 94409?

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 94400 and 94409 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94400 and 94409, than apply into the LCM equation.

GCF(94400,94409) = 1
LCM(94400,94409) = ( 94400 × 94409) / 1
LCM(94400,94409) = 8912209600 / 1
LCM(94400,94409) = 8912209600

Least Common Multiple (LCM) of 94400 and 94409 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94400 and 94409. First we will calculate the prime factors of 94400 and 94409.

Prime Factorization of 94400

Prime Factorization of 94409

Now multiplying the highest exponent prime factors to calculate the LCM of 94400 and 94409.

LCM(94400,94409) = 2⁶ × 5² × 59¹ × 7¹ × 13487¹
LCM(94400,94409) = 8912209600