What is the Least Common Multiple of 80760 and 80773?

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 80760 and 80773 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80760 and 80773, than apply into the LCM equation.

GCF(80760,80773) = 1
LCM(80760,80773) = ( 80760 × 80773) / 1
LCM(80760,80773) = 6523227480 / 1
LCM(80760,80773) = 6523227480

Least Common Multiple (LCM) of 80760 and 80773 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80760 and 80773. First we will calculate the prime factors of 80760 and 80773.

Prime Factorization of 80760

Prime Factorization of 80773

Now multiplying the highest exponent prime factors to calculate the LCM of 80760 and 80773.

LCM(80760,80773) = 2³ × 3¹ × 5¹ × 673¹ × 7¹ × 11¹ × 1049¹
LCM(80760,80773) = 6523227480