What is the Least Common Multiple of 8744 and 8749?

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 8744 and 8749 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8744 and 8749, than apply into the LCM equation.

GCF(8744,8749) = 1
LCM(8744,8749) = ( 8744 × 8749) / 1
LCM(8744,8749) = 76501256 / 1
LCM(8744,8749) = 76501256

Least Common Multiple (LCM) of 8744 and 8749 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8744 and 8749. First we will calculate the prime factors of 8744 and 8749.

Prime Factorization of 8744

Prime Factorization of 8749

Now multiplying the highest exponent prime factors to calculate the LCM of 8744 and 8749.

LCM(8744,8749) = 2³ × 1093¹ × 13¹ × 673¹
LCM(8744,8749) = 76501256