What is the Least Common Multiple of 82230 and 82234?

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 82230 and 82234 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82230 and 82234, than apply into the LCM equation.

GCF(82230,82234) = 2
LCM(82230,82234) = ( 82230 × 82234) / 2
LCM(82230,82234) = 6762101820 / 2
LCM(82230,82234) = 3381050910

Least Common Multiple (LCM) of 82230 and 82234 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82230 and 82234. First we will calculate the prime factors of 82230 and 82234.

Prime Factorization of 82230

Prime Factorization of 82234

Now multiplying the highest exponent prime factors to calculate the LCM of 82230 and 82234.

LCM(82230,82234) = 2¹ × 3¹ × 5¹ × 2741¹ × 41117¹
LCM(82230,82234) = 3381050910