What is the Least Common Multiple of 82546 and 82560?

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 82546 and 82560 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82546 and 82560, than apply into the LCM equation.

GCF(82546,82560) = 2
LCM(82546,82560) = ( 82546 × 82560) / 2
LCM(82546,82560) = 6814997760 / 2
LCM(82546,82560) = 3407498880

Least Common Multiple (LCM) of 82546 and 82560 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82546 and 82560. First we will calculate the prime factors of 82546 and 82560.

Prime Factorization of 82546

Prime Factorization of 82560

Now multiplying the highest exponent prime factors to calculate the LCM of 82546 and 82560.

LCM(82546,82560) = 2⁷ × 149¹ × 277¹ × 3¹ × 5¹ × 43¹
LCM(82546,82560) = 3407498880