What is the Least Common Multiple of 4218 and 4229?

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 4218 and 4229 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4218 and 4229, than apply into the LCM equation.

GCF(4218,4229) = 1
LCM(4218,4229) = ( 4218 × 4229) / 1
LCM(4218,4229) = 17837922 / 1
LCM(4218,4229) = 17837922

Least Common Multiple (LCM) of 4218 and 4229 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4218 and 4229. First we will calculate the prime factors of 4218 and 4229.

Prime Factorization of 4218

Prime Factorization of 4229

Now multiplying the highest exponent prime factors to calculate the LCM of 4218 and 4229.

LCM(4218,4229) = 2¹ × 3¹ × 19¹ × 37¹ × 4229¹
LCM(4218,4229) = 17837922