What is the Least Common Multiple of 82545 and 82549?

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 82545 and 82549 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82545 and 82549, than apply into the LCM equation.

GCF(82545,82549) = 1
LCM(82545,82549) = ( 82545 × 82549) / 1
LCM(82545,82549) = 6814007205 / 1
LCM(82545,82549) = 6814007205

Least Common Multiple (LCM) of 82545 and 82549 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82545 and 82549. First we will calculate the prime factors of 82545 and 82549.

Prime Factorization of 82545

Prime Factorization of 82549

Now multiplying the highest exponent prime factors to calculate the LCM of 82545 and 82549.

LCM(82545,82549) = 3¹ × 5¹ × 5503¹ × 82549¹
LCM(82545,82549) = 6814007205