What is the Least Common Multiple of 4380 and 4395?

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 4380 and 4395 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4380 and 4395, than apply into the LCM equation.

GCF(4380,4395) = 15
LCM(4380,4395) = ( 4380 × 4395) / 15
LCM(4380,4395) = 19250100 / 15
LCM(4380,4395) = 1283340

Least Common Multiple (LCM) of 4380 and 4395 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4380 and 4395. First we will calculate the prime factors of 4380 and 4395.

Prime Factorization of 4380

Prime Factorization of 4395

Now multiplying the highest exponent prime factors to calculate the LCM of 4380 and 4395.

LCM(4380,4395) = 2² × 3¹ × 5¹ × 73¹ × 293¹
LCM(4380,4395) = 1283340