GCF and LCM Calculator Logo

What is the Least Common Multiple of 7354 and 7365?

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 7354 and 7365 is 54162210.

LCM(7354,7365) = 54162210

LCM Calculator and
and

Least Common Multiple of 7354 and 7365 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7354 and 7365, than apply into the LCM equation.

GCF(7354,7365) = 1
LCM(7354,7365) = ( 7354 × 7365) / 1
LCM(7354,7365) = 54162210 / 1
LCM(7354,7365) = 54162210

Least Common Multiple (LCM) of 7354 and 7365 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7354 and 7365. First we will calculate the prime factors of 7354 and 7365.

Prime Factorization of 7354

Prime factors of 7354 are 2, 3677. Prime factorization of 7354 in exponential form is:

7354 = 21 × 36771

Prime Factorization of 7365

Prime factors of 7365 are 3, 5, 491. Prime factorization of 7365 in exponential form is:

7365 = 31 × 51 × 4911

Now multiplying the highest exponent prime factors to calculate the LCM of 7354 and 7365.

LCM(7354,7365) = 21 × 36771 × 31 × 51 × 4911
LCM(7354,7365) = 54162210