GCF and LCM Calculator Logo

What is the Least Common Multiple of 7285 and 7302?

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 7285 and 7302 is 53195070.

LCM(7285,7302) = 53195070

LCM Calculator and
and

Least Common Multiple of 7285 and 7302 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7285 and 7302, than apply into the LCM equation.

GCF(7285,7302) = 1
LCM(7285,7302) = ( 7285 × 7302) / 1
LCM(7285,7302) = 53195070 / 1
LCM(7285,7302) = 53195070

Least Common Multiple (LCM) of 7285 and 7302 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7285 and 7302. First we will calculate the prime factors of 7285 and 7302.

Prime Factorization of 7285

Prime factors of 7285 are 5, 31, 47. Prime factorization of 7285 in exponential form is:

7285 = 51 × 311 × 471

Prime Factorization of 7302

Prime factors of 7302 are 2, 3, 1217. Prime factorization of 7302 in exponential form is:

7302 = 21 × 31 × 12171

Now multiplying the highest exponent prime factors to calculate the LCM of 7285 and 7302.

LCM(7285,7302) = 51 × 311 × 471 × 21 × 31 × 12171
LCM(7285,7302) = 53195070