What is the Least Common Multiple of 8738 and 8743?

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 8738 and 8743 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8738 and 8743, than apply into the LCM equation.

GCF(8738,8743) = 1
LCM(8738,8743) = ( 8738 × 8743) / 1
LCM(8738,8743) = 76396334 / 1
LCM(8738,8743) = 76396334

Least Common Multiple (LCM) of 8738 and 8743 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8738 and 8743. First we will calculate the prime factors of 8738 and 8743.

Prime Factorization of 8738

Prime Factorization of 8743

Now multiplying the highest exponent prime factors to calculate the LCM of 8738 and 8743.

LCM(8738,8743) = 2¹ × 17¹ × 257¹ × 7¹ × 1249¹
LCM(8738,8743) = 76396334