What is the Least Common Multiple of 4380 and 4390?

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 4390 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 4390, than apply into the LCM equation.

GCF(4380,4390) = 10
LCM(4380,4390) = ( 4380 × 4390) / 10
LCM(4380,4390) = 19228200 / 10
LCM(4380,4390) = 1922820

Least Common Multiple (LCM) of 4380 and 4390 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4380 and 4390. First we will calculate the prime factors of 4380 and 4390.

Prime Factorization of 4380

Prime Factorization of 4390

Now multiplying the highest exponent prime factors to calculate the LCM of 4380 and 4390.

LCM(4380,4390) = 2² × 3¹ × 5¹ × 73¹ × 439¹
LCM(4380,4390) = 1922820