What is the Least Common Multiple of 34400 and 34415?

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 34400 and 34415 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34400 and 34415, than apply into the LCM equation.

GCF(34400,34415) = 5
LCM(34400,34415) = ( 34400 × 34415) / 5
LCM(34400,34415) = 1183876000 / 5
LCM(34400,34415) = 236775200

Least Common Multiple (LCM) of 34400 and 34415 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34400 and 34415. First we will calculate the prime factors of 34400 and 34415.

Prime Factorization of 34400

Prime Factorization of 34415

Now multiplying the highest exponent prime factors to calculate the LCM of 34400 and 34415.

LCM(34400,34415) = 2⁵ × 5² × 43¹ × 6883¹
LCM(34400,34415) = 236775200