What is the Least Common Multiple of 42400 and 42416?

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 42400 and 42416 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42400 and 42416, than apply into the LCM equation.

GCF(42400,42416) = 16
LCM(42400,42416) = ( 42400 × 42416) / 16
LCM(42400,42416) = 1798438400 / 16
LCM(42400,42416) = 112402400

Least Common Multiple (LCM) of 42400 and 42416 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42400 and 42416. First we will calculate the prime factors of 42400 and 42416.

Prime Factorization of 42400

Prime Factorization of 42416

Now multiplying the highest exponent prime factors to calculate the LCM of 42400 and 42416.

LCM(42400,42416) = 2⁵ × 5² × 53¹ × 11¹ × 241¹
LCM(42400,42416) = 112402400