What is the Least Common Multiple of 12740 and 12752?

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 12740 and 12752 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12740 and 12752, than apply into the LCM equation.

GCF(12740,12752) = 4
LCM(12740,12752) = ( 12740 × 12752) / 4
LCM(12740,12752) = 162460480 / 4
LCM(12740,12752) = 40615120

Least Common Multiple (LCM) of 12740 and 12752 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12740 and 12752. First we will calculate the prime factors of 12740 and 12752.

Prime Factorization of 12740

Prime Factorization of 12752

Now multiplying the highest exponent prime factors to calculate the LCM of 12740 and 12752.

LCM(12740,12752) = 2⁴ × 5¹ × 7² × 13¹ × 797¹
LCM(12740,12752) = 40615120