What is the Least Common Multiple of 82416 and 82435?

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 82416 and 82435 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82416 and 82435, than apply into the LCM equation.

GCF(82416,82435) = 1
LCM(82416,82435) = ( 82416 × 82435) / 1
LCM(82416,82435) = 6793962960 / 1
LCM(82416,82435) = 6793962960

Least Common Multiple (LCM) of 82416 and 82435 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82416 and 82435. First we will calculate the prime factors of 82416 and 82435.

Prime Factorization of 82416

Prime Factorization of 82435

Now multiplying the highest exponent prime factors to calculate the LCM of 82416 and 82435.

LCM(82416,82435) = 2⁴ × 3¹ × 17¹ × 101¹ × 5¹ × 16487¹
LCM(82416,82435) = 6793962960