What is the Least Common Multiple of 26397 and 26416?

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 26397 and 26416 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26397 and 26416, than apply into the LCM equation.

GCF(26397,26416) = 1
LCM(26397,26416) = ( 26397 × 26416) / 1
LCM(26397,26416) = 697303152 / 1
LCM(26397,26416) = 697303152

Least Common Multiple (LCM) of 26397 and 26416 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26397 and 26416. First we will calculate the prime factors of 26397 and 26416.

Prime Factorization of 26397

Prime Factorization of 26416

Now multiplying the highest exponent prime factors to calculate the LCM of 26397 and 26416.

LCM(26397,26416) = 3² × 7¹ × 419¹ × 2⁴ × 13¹ × 127¹
LCM(26397,26416) = 697303152