What is the Least Common Multiple of 82626 and 82640?

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 82626 and 82640 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82626 and 82640, than apply into the LCM equation.

GCF(82626,82640) = 2
LCM(82626,82640) = ( 82626 × 82640) / 2
LCM(82626,82640) = 6828212640 / 2
LCM(82626,82640) = 3414106320

Least Common Multiple (LCM) of 82626 and 82640 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82626 and 82640. First we will calculate the prime factors of 82626 and 82640.

Prime Factorization of 82626

Prime Factorization of 82640

Now multiplying the highest exponent prime factors to calculate the LCM of 82626 and 82640.

LCM(82626,82640) = 2⁴ × 3¹ × 47¹ × 293¹ × 5¹ × 1033¹
LCM(82626,82640) = 3414106320