What is the Least Common Multiple of 26353 and 26373?

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 26353 and 26373 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26353 and 26373, than apply into the LCM equation.

GCF(26353,26373) = 1
LCM(26353,26373) = ( 26353 × 26373) / 1
LCM(26353,26373) = 695007669 / 1
LCM(26353,26373) = 695007669

Least Common Multiple (LCM) of 26353 and 26373 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26353 and 26373. First we will calculate the prime factors of 26353 and 26373.

Prime Factorization of 26353

Prime Factorization of 26373

Now multiplying the highest exponent prime factors to calculate the LCM of 26353 and 26373.

LCM(26353,26373) = 19² × 73¹ × 3¹ × 59¹ × 149¹
LCM(26353,26373) = 695007669