What is the Least Common Multiple of 82616 and 82635?

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 82616 and 82635 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82616 and 82635, than apply into the LCM equation.

GCF(82616,82635) = 1
LCM(82616,82635) = ( 82616 × 82635) / 1
LCM(82616,82635) = 6826973160 / 1
LCM(82616,82635) = 6826973160

Least Common Multiple (LCM) of 82616 and 82635 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82616 and 82635. First we will calculate the prime factors of 82616 and 82635.

Prime Factorization of 82616

Prime Factorization of 82635

Now multiplying the highest exponent prime factors to calculate the LCM of 82616 and 82635.

LCM(82616,82635) = 2³ × 23¹ × 449¹ × 3¹ × 5¹ × 7¹ × 787¹
LCM(82616,82635) = 6826973160