GCF and LCM Calculator Logo

What is the Least Common Multiple of 2354 and 2361?

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 2354 and 2361 is 5557794.

LCM(2354,2361) = 5557794

LCM Calculator and
and

Least Common Multiple of 2354 and 2361 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2354 and 2361, than apply into the LCM equation.

GCF(2354,2361) = 1
LCM(2354,2361) = ( 2354 × 2361) / 1
LCM(2354,2361) = 5557794 / 1
LCM(2354,2361) = 5557794

Least Common Multiple (LCM) of 2354 and 2361 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2354 and 2361. First we will calculate the prime factors of 2354 and 2361.

Prime Factorization of 2354

Prime factors of 2354 are 2, 11, 107. Prime factorization of 2354 in exponential form is:

2354 = 21 × 111 × 1071

Prime Factorization of 2361

Prime factors of 2361 are 3, 787. Prime factorization of 2361 in exponential form is:

2361 = 31 × 7871

Now multiplying the highest exponent prime factors to calculate the LCM of 2354 and 2361.

LCM(2354,2361) = 21 × 111 × 1071 × 31 × 7871
LCM(2354,2361) = 5557794