What is the Least Common Multiple of 26358 and 26374?

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 26358 and 26374 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26358 and 26374, than apply into the LCM equation.

GCF(26358,26374) = 2
LCM(26358,26374) = ( 26358 × 26374) / 2
LCM(26358,26374) = 695165892 / 2
LCM(26358,26374) = 347582946

Least Common Multiple (LCM) of 26358 and 26374 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26358 and 26374. First we will calculate the prime factors of 26358 and 26374.

Prime Factorization of 26358

Prime Factorization of 26374

Now multiplying the highest exponent prime factors to calculate the LCM of 26358 and 26374.

LCM(26358,26374) = 2¹ × 3¹ × 23¹ × 191¹ × 13187¹
LCM(26358,26374) = 347582946