GCF and LCM Calculator Logo

What is the Least Common Multiple of 7270 and 7290?

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 7270 and 7290 is 5299830.

LCM(7270,7290) = 5299830

LCM Calculator and
and

Least Common Multiple of 7270 and 7290 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7270 and 7290, than apply into the LCM equation.

GCF(7270,7290) = 10
LCM(7270,7290) = ( 7270 × 7290) / 10
LCM(7270,7290) = 52998300 / 10
LCM(7270,7290) = 5299830

Least Common Multiple (LCM) of 7270 and 7290 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7270 and 7290. First we will calculate the prime factors of 7270 and 7290.

Prime Factorization of 7270

Prime factors of 7270 are 2, 5, 727. Prime factorization of 7270 in exponential form is:

7270 = 21 × 51 × 7271

Prime Factorization of 7290

Prime factors of 7290 are 2, 3, 5. Prime factorization of 7290 in exponential form is:

7290 = 21 × 36 × 51

Now multiplying the highest exponent prime factors to calculate the LCM of 7270 and 7290.

LCM(7270,7290) = 21 × 51 × 7271 × 36
LCM(7270,7290) = 5299830