What is the Least Common Multiple of 80535 and 80546?

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 80535 and 80546 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80535 and 80546, than apply into the LCM equation.

GCF(80535,80546) = 1
LCM(80535,80546) = ( 80535 × 80546) / 1
LCM(80535,80546) = 6486772110 / 1
LCM(80535,80546) = 6486772110

Least Common Multiple (LCM) of 80535 and 80546 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80535 and 80546. First we will calculate the prime factors of 80535 and 80546.

Prime Factorization of 80535

Prime Factorization of 80546

Now multiplying the highest exponent prime factors to calculate the LCM of 80535 and 80546.

LCM(80535,80546) = 3¹ × 5¹ × 7¹ × 13¹ × 59¹ × 2¹ × 17¹ × 23¹ × 103¹
LCM(80535,80546) = 6486772110