GCF and LCM Calculator Logo

What is the Least Common Multiple of 7257 and 7273?

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 7257 and 7273 is 52780161.

LCM(7257,7273) = 52780161

LCM Calculator and
and

Least Common Multiple of 7257 and 7273 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7257 and 7273, than apply into the LCM equation.

GCF(7257,7273) = 1
LCM(7257,7273) = ( 7257 × 7273) / 1
LCM(7257,7273) = 52780161 / 1
LCM(7257,7273) = 52780161

Least Common Multiple (LCM) of 7257 and 7273 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7257 and 7273. First we will calculate the prime factors of 7257 and 7273.

Prime Factorization of 7257

Prime factors of 7257 are 3, 41, 59. Prime factorization of 7257 in exponential form is:

7257 = 31 × 411 × 591

Prime Factorization of 7273

Prime factors of 7273 are 7, 1039. Prime factorization of 7273 in exponential form is:

7273 = 71 × 10391

Now multiplying the highest exponent prime factors to calculate the LCM of 7257 and 7273.

LCM(7257,7273) = 31 × 411 × 591 × 71 × 10391
LCM(7257,7273) = 52780161