What is the Least Common Multiple of 82635 and 82642?

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 82635 and 82642 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82635 and 82642, than apply into the LCM equation.

GCF(82635,82642) = 7
LCM(82635,82642) = ( 82635 × 82642) / 7
LCM(82635,82642) = 6829121670 / 7
LCM(82635,82642) = 975588810

Least Common Multiple (LCM) of 82635 and 82642 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82635 and 82642. First we will calculate the prime factors of 82635 and 82642.

Prime Factorization of 82635

Prime Factorization of 82642

Now multiplying the highest exponent prime factors to calculate the LCM of 82635 and 82642.

LCM(82635,82642) = 3¹ × 5¹ × 7¹ × 787¹ × 2¹ × 5903¹
LCM(82635,82642) = 975588810