What is the Least Common Multiple of 26996 and 27008?

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 26996 and 27008 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26996 and 27008, than apply into the LCM equation.

GCF(26996,27008) = 4
LCM(26996,27008) = ( 26996 × 27008) / 4
LCM(26996,27008) = 729107968 / 4
LCM(26996,27008) = 182276992

Least Common Multiple (LCM) of 26996 and 27008 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26996 and 27008. First we will calculate the prime factors of 26996 and 27008.

Prime Factorization of 26996

Prime Factorization of 27008

Now multiplying the highest exponent prime factors to calculate the LCM of 26996 and 27008.

LCM(26996,27008) = 2⁷ × 17¹ × 397¹ × 211¹
LCM(26996,27008) = 182276992