What is the Least Common Multiple of 48400 and 48415?

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 48400 and 48415 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48400 and 48415, than apply into the LCM equation.

GCF(48400,48415) = 5
LCM(48400,48415) = ( 48400 × 48415) / 5
LCM(48400,48415) = 2343286000 / 5
LCM(48400,48415) = 468657200

Least Common Multiple (LCM) of 48400 and 48415 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48400 and 48415. First we will calculate the prime factors of 48400 and 48415.

Prime Factorization of 48400

Prime Factorization of 48415

Now multiplying the highest exponent prime factors to calculate the LCM of 48400 and 48415.

LCM(48400,48415) = 2⁴ × 5² × 11² × 23¹ × 421¹
LCM(48400,48415) = 468657200