What is the Least Common Multiple of 8949 and 8958?

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 8949 and 8958 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8949 and 8958, than apply into the LCM equation.

GCF(8949,8958) = 3
LCM(8949,8958) = ( 8949 × 8958) / 3
LCM(8949,8958) = 80165142 / 3
LCM(8949,8958) = 26721714

Least Common Multiple (LCM) of 8949 and 8958 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8949 and 8958. First we will calculate the prime factors of 8949 and 8958.

Prime Factorization of 8949

Prime Factorization of 8958

Now multiplying the highest exponent prime factors to calculate the LCM of 8949 and 8958.

LCM(8949,8958) = 3¹ × 19¹ × 157¹ × 2¹ × 1493¹
LCM(8949,8958) = 26721714