What is the Least Common Multiple of 82880 and 82895?

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 82880 and 82895 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82880 and 82895, than apply into the LCM equation.

GCF(82880,82895) = 5
LCM(82880,82895) = ( 82880 × 82895) / 5
LCM(82880,82895) = 6870337600 / 5
LCM(82880,82895) = 1374067520

Least Common Multiple (LCM) of 82880 and 82895 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82880 and 82895. First we will calculate the prime factors of 82880 and 82895.

Prime Factorization of 82880

Prime Factorization of 82895

Now multiplying the highest exponent prime factors to calculate the LCM of 82880 and 82895.

LCM(82880,82895) = 2⁶ × 5¹ × 7¹ × 37¹ × 59¹ × 281¹
LCM(82880,82895) = 1374067520