What is the Least Common Multiple of 12760 and 12778?

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 12760 and 12778 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12760 and 12778, than apply into the LCM equation.

GCF(12760,12778) = 2
LCM(12760,12778) = ( 12760 × 12778) / 2
LCM(12760,12778) = 163047280 / 2
LCM(12760,12778) = 81523640

Least Common Multiple (LCM) of 12760 and 12778 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12760 and 12778. First we will calculate the prime factors of 12760 and 12778.

Prime Factorization of 12760

Prime Factorization of 12778

Now multiplying the highest exponent prime factors to calculate the LCM of 12760 and 12778.

LCM(12760,12778) = 2³ × 5¹ × 11¹ × 29¹ × 6389¹
LCM(12760,12778) = 81523640