What is the Least Common Multiple of 82640 and 82658?

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 82640 and 82658 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82640 and 82658, than apply into the LCM equation.

GCF(82640,82658) = 2
LCM(82640,82658) = ( 82640 × 82658) / 2
LCM(82640,82658) = 6830857120 / 2
LCM(82640,82658) = 3415428560

Least Common Multiple (LCM) of 82640 and 82658 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82640 and 82658. First we will calculate the prime factors of 82640 and 82658.

Prime Factorization of 82640

Prime Factorization of 82658

Now multiplying the highest exponent prime factors to calculate the LCM of 82640 and 82658.

LCM(82640,82658) = 2⁴ × 5¹ × 1033¹ × 37¹ × 1117¹
LCM(82640,82658) = 3415428560