What is the Least Common Multiple of 26596 and 26609?

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 26596 and 26609 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26596 and 26609, than apply into the LCM equation.

GCF(26596,26609) = 1
LCM(26596,26609) = ( 26596 × 26609) / 1
LCM(26596,26609) = 707692964 / 1
LCM(26596,26609) = 707692964

Least Common Multiple (LCM) of 26596 and 26609 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26596 and 26609. First we will calculate the prime factors of 26596 and 26609.

Prime Factorization of 26596

Prime Factorization of 26609

Now multiplying the highest exponent prime factors to calculate the LCM of 26596 and 26609.

LCM(26596,26609) = 2² × 61¹ × 109¹ × 11¹ × 41¹ × 59¹
LCM(26596,26609) = 707692964