What is the Least Common Multiple of 4346 and 4360?

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 4346 and 4360 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4346 and 4360, than apply into the LCM equation.

GCF(4346,4360) = 2
LCM(4346,4360) = ( 4346 × 4360) / 2
LCM(4346,4360) = 18948560 / 2
LCM(4346,4360) = 9474280

Least Common Multiple (LCM) of 4346 and 4360 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4346 and 4360. First we will calculate the prime factors of 4346 and 4360.

Prime Factorization of 4346

Prime Factorization of 4360

Now multiplying the highest exponent prime factors to calculate the LCM of 4346 and 4360.

LCM(4346,4360) = 2³ × 41¹ × 53¹ × 5¹ × 109¹
LCM(4346,4360) = 9474280