What is the Least Common Multiple of 82870 and 82880?

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 82870 and 82880 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82870 and 82880, than apply into the LCM equation.

GCF(82870,82880) = 10
LCM(82870,82880) = ( 82870 × 82880) / 10
LCM(82870,82880) = 6868265600 / 10
LCM(82870,82880) = 686826560

Least Common Multiple (LCM) of 82870 and 82880 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82870 and 82880. First we will calculate the prime factors of 82870 and 82880.

Prime Factorization of 82870

Prime Factorization of 82880

Now multiplying the highest exponent prime factors to calculate the LCM of 82870 and 82880.

LCM(82870,82880) = 2⁶ × 5¹ × 8287¹ × 7¹ × 37¹
LCM(82870,82880) = 686826560