What is the Least Common Multiple of 83220 and 83229?

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 83220 and 83229 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83220 and 83229, than apply into the LCM equation.

GCF(83220,83229) = 3
LCM(83220,83229) = ( 83220 × 83229) / 3
LCM(83220,83229) = 6926317380 / 3
LCM(83220,83229) = 2308772460

Least Common Multiple (LCM) of 83220 and 83229 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83220 and 83229. First we will calculate the prime factors of 83220 and 83229.

Prime Factorization of 83220

Prime Factorization of 83229

Now multiplying the highest exponent prime factors to calculate the LCM of 83220 and 83229.

LCM(83220,83229) = 2² × 3¹ × 5¹ × 19¹ × 73¹ × 27743¹
LCM(83220,83229) = 2308772460