What is the Least Common Multiple of 12730 and 12749?

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 12730 and 12749 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12730 and 12749, than apply into the LCM equation.

GCF(12730,12749) = 19
LCM(12730,12749) = ( 12730 × 12749) / 19
LCM(12730,12749) = 162294770 / 19
LCM(12730,12749) = 8541830

Least Common Multiple (LCM) of 12730 and 12749 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12730 and 12749. First we will calculate the prime factors of 12730 and 12749.

Prime Factorization of 12730

Prime Factorization of 12749

Now multiplying the highest exponent prime factors to calculate the LCM of 12730 and 12749.

LCM(12730,12749) = 2¹ × 5¹ × 19¹ × 67¹ × 11¹ × 61¹
LCM(12730,12749) = 8541830