What is the Least Common Multiple of 26966 and 26976?

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 26966 and 26976 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26966 and 26976, than apply into the LCM equation.

GCF(26966,26976) = 2
LCM(26966,26976) = ( 26966 × 26976) / 2
LCM(26966,26976) = 727434816 / 2
LCM(26966,26976) = 363717408

Least Common Multiple (LCM) of 26966 and 26976 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26966 and 26976. First we will calculate the prime factors of 26966 and 26976.

Prime Factorization of 26966

Prime Factorization of 26976

Now multiplying the highest exponent prime factors to calculate the LCM of 26966 and 26976.

LCM(26966,26976) = 2⁵ × 97¹ × 139¹ × 3¹ × 281¹
LCM(26966,26976) = 363717408