What is the Least Common Multiple of 82280 and 82290?

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 82280 and 82290 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82280 and 82290, than apply into the LCM equation.

GCF(82280,82290) = 10
LCM(82280,82290) = ( 82280 × 82290) / 10
LCM(82280,82290) = 6770821200 / 10
LCM(82280,82290) = 677082120

Least Common Multiple (LCM) of 82280 and 82290 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82280 and 82290. First we will calculate the prime factors of 82280 and 82290.

Prime Factorization of 82280

Prime Factorization of 82290

Now multiplying the highest exponent prime factors to calculate the LCM of 82280 and 82290.

LCM(82280,82290) = 2³ × 5¹ × 11² × 17¹ × 3¹ × 13¹ × 211¹
LCM(82280,82290) = 677082120