What is the Least Common Multiple of 82624 and 82644?

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 82624 and 82644 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82624 and 82644, than apply into the LCM equation.

GCF(82624,82644) = 4
LCM(82624,82644) = ( 82624 × 82644) / 4
LCM(82624,82644) = 6828377856 / 4
LCM(82624,82644) = 1707094464

Least Common Multiple (LCM) of 82624 and 82644 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82624 and 82644. First we will calculate the prime factors of 82624 and 82644.

Prime Factorization of 82624

Prime Factorization of 82644

Now multiplying the highest exponent prime factors to calculate the LCM of 82624 and 82644.

LCM(82624,82644) = 2⁶ × 1291¹ × 3¹ × 71¹ × 97¹
LCM(82624,82644) = 1707094464