What is the Least Common Multiple of 4415 and 4425?

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 4415 and 4425 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4415 and 4425, than apply into the LCM equation.

GCF(4415,4425) = 5
LCM(4415,4425) = ( 4415 × 4425) / 5
LCM(4415,4425) = 19536375 / 5
LCM(4415,4425) = 3907275

Least Common Multiple (LCM) of 4415 and 4425 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4415 and 4425. First we will calculate the prime factors of 4415 and 4425.

Prime Factorization of 4415

Prime Factorization of 4425

Now multiplying the highest exponent prime factors to calculate the LCM of 4415 and 4425.

LCM(4415,4425) = 5² × 883¹ × 3¹ × 59¹
LCM(4415,4425) = 3907275