GCF and LCM Calculator Logo

What is the Least Common Multiple of 7247 and 7265?

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 7247 and 7265 is 52649455.

LCM(7247,7265) = 52649455

LCM Calculator and
and

Least Common Multiple of 7247 and 7265 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7247 and 7265, than apply into the LCM equation.

GCF(7247,7265) = 1
LCM(7247,7265) = ( 7247 × 7265) / 1
LCM(7247,7265) = 52649455 / 1
LCM(7247,7265) = 52649455

Least Common Multiple (LCM) of 7247 and 7265 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7247 and 7265. First we will calculate the prime factors of 7247 and 7265.

Prime Factorization of 7247

Prime factors of 7247 are 7247. Prime factorization of 7247 in exponential form is:

7247 = 72471

Prime Factorization of 7265

Prime factors of 7265 are 5, 1453. Prime factorization of 7265 in exponential form is:

7265 = 51 × 14531

Now multiplying the highest exponent prime factors to calculate the LCM of 7247 and 7265.

LCM(7247,7265) = 72471 × 51 × 14531
LCM(7247,7265) = 52649455