What is the Least Common Multiple of 26614 and 26633?

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 26614 and 26633 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26614 and 26633, than apply into the LCM equation.

GCF(26614,26633) = 1
LCM(26614,26633) = ( 26614 × 26633) / 1
LCM(26614,26633) = 708810662 / 1
LCM(26614,26633) = 708810662

Least Common Multiple (LCM) of 26614 and 26633 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26614 and 26633. First we will calculate the prime factors of 26614 and 26633.

Prime Factorization of 26614

Prime Factorization of 26633

Now multiplying the highest exponent prime factors to calculate the LCM of 26614 and 26633.

LCM(26614,26633) = 2¹ × 7¹ × 1901¹ × 26633¹
LCM(26614,26633) = 708810662