What is the Least Common Multiple of 48415 and 48425?

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 48415 and 48425 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48415 and 48425, than apply into the LCM equation.

GCF(48415,48425) = 5
LCM(48415,48425) = ( 48415 × 48425) / 5
LCM(48415,48425) = 2344496375 / 5
LCM(48415,48425) = 468899275

Least Common Multiple (LCM) of 48415 and 48425 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48415 and 48425. First we will calculate the prime factors of 48415 and 48425.

Prime Factorization of 48415

Prime Factorization of 48425

Now multiplying the highest exponent prime factors to calculate the LCM of 48415 and 48425.

LCM(48415,48425) = 5² × 23¹ × 421¹ × 13¹ × 149¹
LCM(48415,48425) = 468899275