What is the Least Common Multiple of 82464 and 82470?

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 82464 and 82470 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82464 and 82470, than apply into the LCM equation.

GCF(82464,82470) = 6
LCM(82464,82470) = ( 82464 × 82470) / 6
LCM(82464,82470) = 6800806080 / 6
LCM(82464,82470) = 1133467680

Least Common Multiple (LCM) of 82464 and 82470 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82464 and 82470. First we will calculate the prime factors of 82464 and 82470.

Prime Factorization of 82464

Prime Factorization of 82470

Now multiplying the highest exponent prime factors to calculate the LCM of 82464 and 82470.

LCM(82464,82470) = 2⁵ × 3¹ × 859¹ × 5¹ × 2749¹
LCM(82464,82470) = 1133467680