What is the Least Common Multiple of 80757 and 80777?

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 80757 and 80777 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80757 and 80777, than apply into the LCM equation.

GCF(80757,80777) = 1
LCM(80757,80777) = ( 80757 × 80777) / 1
LCM(80757,80777) = 6523308189 / 1
LCM(80757,80777) = 6523308189

Least Common Multiple (LCM) of 80757 and 80777 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80757 and 80777. First we will calculate the prime factors of 80757 and 80777.

Prime Factorization of 80757

Prime Factorization of 80777

Now multiplying the highest exponent prime factors to calculate the LCM of 80757 and 80777.

LCM(80757,80777) = 3⁴ × 997¹ × 80777¹
LCM(80757,80777) = 6523308189