What is the Least Common Multiple of 26704 and 26718?

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 26704 and 26718 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26704 and 26718, than apply into the LCM equation.

GCF(26704,26718) = 2
LCM(26704,26718) = ( 26704 × 26718) / 2
LCM(26704,26718) = 713477472 / 2
LCM(26704,26718) = 356738736

Least Common Multiple (LCM) of 26704 and 26718 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26704 and 26718. First we will calculate the prime factors of 26704 and 26718.

Prime Factorization of 26704

Prime Factorization of 26718

Now multiplying the highest exponent prime factors to calculate the LCM of 26704 and 26718.

LCM(26704,26718) = 2⁴ × 1669¹ × 3¹ × 61¹ × 73¹
LCM(26704,26718) = 356738736