What is the Least Common Multiple of 82639 and 82652?

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 82639 and 82652 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82639 and 82652, than apply into the LCM equation.

GCF(82639,82652) = 1
LCM(82639,82652) = ( 82639 × 82652) / 1
LCM(82639,82652) = 6830278628 / 1
LCM(82639,82652) = 6830278628

Least Common Multiple (LCM) of 82639 and 82652 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82639 and 82652. First we will calculate the prime factors of 82639 and 82652.

Prime Factorization of 82639

Prime Factorization of 82652

Now multiplying the highest exponent prime factors to calculate the LCM of 82639 and 82652.

LCM(82639,82652) = 23¹ × 3593¹ × 2² × 20663¹
LCM(82639,82652) = 6830278628