GCF and LCM Calculator Logo

What is the Least Common Multiple of 7227 and 7240?

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 7227 and 7240 is 52323480.

LCM(7227,7240) = 52323480

LCM Calculator and
and

Least Common Multiple of 7227 and 7240 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7227 and 7240, than apply into the LCM equation.

GCF(7227,7240) = 1
LCM(7227,7240) = ( 7227 × 7240) / 1
LCM(7227,7240) = 52323480 / 1
LCM(7227,7240) = 52323480

Least Common Multiple (LCM) of 7227 and 7240 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7227 and 7240. First we will calculate the prime factors of 7227 and 7240.

Prime Factorization of 7227

Prime factors of 7227 are 3, 11, 73. Prime factorization of 7227 in exponential form is:

7227 = 32 × 111 × 731

Prime Factorization of 7240

Prime factors of 7240 are 2, 5, 181. Prime factorization of 7240 in exponential form is:

7240 = 23 × 51 × 1811

Now multiplying the highest exponent prime factors to calculate the LCM of 7227 and 7240.

LCM(7227,7240) = 32 × 111 × 731 × 23 × 51 × 1811
LCM(7227,7240) = 52323480