What is the Least Common Multiple of 8934 and 8949?

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 8934 and 8949 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8934 and 8949, than apply into the LCM equation.

GCF(8934,8949) = 3
LCM(8934,8949) = ( 8934 × 8949) / 3
LCM(8934,8949) = 79950366 / 3
LCM(8934,8949) = 26650122

Least Common Multiple (LCM) of 8934 and 8949 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8934 and 8949. First we will calculate the prime factors of 8934 and 8949.

Prime Factorization of 8934

Prime Factorization of 8949

Now multiplying the highest exponent prime factors to calculate the LCM of 8934 and 8949.

LCM(8934,8949) = 2¹ × 3¹ × 1489¹ × 19¹ × 157¹
LCM(8934,8949) = 26650122