What is the Least Common Multiple of 12749 and 12769?

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 12749 and 12769 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12749 and 12769, than apply into the LCM equation.

GCF(12749,12769) = 1
LCM(12749,12769) = ( 12749 × 12769) / 1
LCM(12749,12769) = 162791981 / 1
LCM(12749,12769) = 162791981

Least Common Multiple (LCM) of 12749 and 12769 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12749 and 12769. First we will calculate the prime factors of 12749 and 12769.

Prime Factorization of 12749

Prime Factorization of 12769

Now multiplying the highest exponent prime factors to calculate the LCM of 12749 and 12769.

LCM(12749,12769) = 11¹ × 19¹ × 61¹ × 113²
LCM(12749,12769) = 162791981