What is the Least Common Multiple of 82220 and 82233?

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 82220 and 82233 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82220 and 82233, than apply into the LCM equation.

GCF(82220,82233) = 1
LCM(82220,82233) = ( 82220 × 82233) / 1
LCM(82220,82233) = 6761197260 / 1
LCM(82220,82233) = 6761197260

Least Common Multiple (LCM) of 82220 and 82233 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82220 and 82233. First we will calculate the prime factors of 82220 and 82233.

Prime Factorization of 82220

Prime Factorization of 82233

Now multiplying the highest exponent prime factors to calculate the LCM of 82220 and 82233.

LCM(82220,82233) = 2² × 5¹ × 4111¹ × 3² × 9137¹
LCM(82220,82233) = 6761197260