What is the Least Common Multiple of 4415 and 4427?

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 4427 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 4427, than apply into the LCM equation.

GCF(4415,4427) = 1
LCM(4415,4427) = ( 4415 × 4427) / 1
LCM(4415,4427) = 19545205 / 1
LCM(4415,4427) = 19545205

Least Common Multiple (LCM) of 4415 and 4427 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4415 and 4427. First we will calculate the prime factors of 4415 and 4427.

Prime Factorization of 4415

Prime Factorization of 4427

Now multiplying the highest exponent prime factors to calculate the LCM of 4415 and 4427.

LCM(4415,4427) = 5¹ × 883¹ × 19¹ × 233¹
LCM(4415,4427) = 19545205