What is the Least Common Multiple of 26949 and 26966?

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 26949 and 26966 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26949 and 26966, than apply into the LCM equation.

GCF(26949,26966) = 1
LCM(26949,26966) = ( 26949 × 26966) / 1
LCM(26949,26966) = 726706734 / 1
LCM(26949,26966) = 726706734

Least Common Multiple (LCM) of 26949 and 26966 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26949 and 26966. First we will calculate the prime factors of 26949 and 26966.

Prime Factorization of 26949

Prime Factorization of 26966

Now multiplying the highest exponent prime factors to calculate the LCM of 26949 and 26966.

LCM(26949,26966) = 3¹ × 13¹ × 691¹ × 2¹ × 97¹ × 139¹
LCM(26949,26966) = 726706734