What is the Least Common Multiple of 26974 and 26989?

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 26974 and 26989 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26974 and 26989, than apply into the LCM equation.

GCF(26974,26989) = 1
LCM(26974,26989) = ( 26974 × 26989) / 1
LCM(26974,26989) = 728001286 / 1
LCM(26974,26989) = 728001286

Least Common Multiple (LCM) of 26974 and 26989 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26974 and 26989. First we will calculate the prime factors of 26974 and 26989.

Prime Factorization of 26974

Prime Factorization of 26989

Now multiplying the highest exponent prime factors to calculate the LCM of 26974 and 26989.

LCM(26974,26989) = 2¹ × 13487¹ × 137¹ × 197¹
LCM(26974,26989) = 728001286