What is the Least Common Multiple of 26940 and 26958?

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 26940 and 26958 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26940 and 26958, than apply into the LCM equation.

GCF(26940,26958) = 6
LCM(26940,26958) = ( 26940 × 26958) / 6
LCM(26940,26958) = 726248520 / 6
LCM(26940,26958) = 121041420

Least Common Multiple (LCM) of 26940 and 26958 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26940 and 26958. First we will calculate the prime factors of 26940 and 26958.

Prime Factorization of 26940

Prime Factorization of 26958

Now multiplying the highest exponent prime factors to calculate the LCM of 26940 and 26958.

LCM(26940,26958) = 2² × 3¹ × 5¹ × 449¹ × 4493¹
LCM(26940,26958) = 121041420