What is the Least Common Multiple of 4404 and 4420?

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 4404 and 4420 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4404 and 4420, than apply into the LCM equation.

GCF(4404,4420) = 4
LCM(4404,4420) = ( 4404 × 4420) / 4
LCM(4404,4420) = 19465680 / 4
LCM(4404,4420) = 4866420

Least Common Multiple (LCM) of 4404 and 4420 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4404 and 4420. First we will calculate the prime factors of 4404 and 4420.

Prime Factorization of 4404

Prime Factorization of 4420

Now multiplying the highest exponent prime factors to calculate the LCM of 4404 and 4420.

LCM(4404,4420) = 2² × 3¹ × 367¹ × 5¹ × 13¹ × 17¹
LCM(4404,4420) = 4866420