GCF and LCM Calculator Logo

What is the Least Common Multiple of 7340 and 7349?

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 7340 and 7349 is 53941660.

LCM(7340,7349) = 53941660

LCM Calculator and
and

Least Common Multiple of 7340 and 7349 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7340 and 7349, than apply into the LCM equation.

GCF(7340,7349) = 1
LCM(7340,7349) = ( 7340 × 7349) / 1
LCM(7340,7349) = 53941660 / 1
LCM(7340,7349) = 53941660

Least Common Multiple (LCM) of 7340 and 7349 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7340 and 7349. First we will calculate the prime factors of 7340 and 7349.

Prime Factorization of 7340

Prime factors of 7340 are 2, 5, 367. Prime factorization of 7340 in exponential form is:

7340 = 22 × 51 × 3671

Prime Factorization of 7349

Prime factors of 7349 are 7349. Prime factorization of 7349 in exponential form is:

7349 = 73491

Now multiplying the highest exponent prime factors to calculate the LCM of 7340 and 7349.

LCM(7340,7349) = 22 × 51 × 3671 × 73491
LCM(7340,7349) = 53941660