GCF and LCM Calculator Logo

What is the Least Common Multiple of 26367 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 (LCM) of 26367 and 26374 is 695403258.

LCM(26367,26374) = 695403258

LCM Calculator and
and

Least Common Multiple of 26367 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 26367 and 26374, than apply into the LCM equation.

GCF(26367,26374) = 1
LCM(26367,26374) = ( 26367 × 26374) / 1
LCM(26367,26374) = 695403258 / 1
LCM(26367,26374) = 695403258

Least Common Multiple (LCM) of 26367 and 26374 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26367 and 26374. First we will calculate the prime factors of 26367 and 26374.

Prime Factorization of 26367

Prime factors of 26367 are 3, 11, 17, 47. Prime factorization of 26367 in exponential form is:

26367 = 31 × 111 × 171 × 471

Prime Factorization of 26374

Prime factors of 26374 are 2, 13187. Prime factorization of 26374 in exponential form is:

26374 = 21 × 131871

Now multiplying the highest exponent prime factors to calculate the LCM of 26367 and 26374.

LCM(26367,26374) = 31 × 111 × 171 × 471 × 21 × 131871
LCM(26367,26374) = 695403258