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What is the Least Common Multiple of 7207 and 7215?

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 7207 and 7215 is 51998505.

LCM(7207,7215) = 51998505

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Least Common Multiple of 7207 and 7215 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7207 and 7215, than apply into the LCM equation.

GCF(7207,7215) = 1
LCM(7207,7215) = ( 7207 × 7215) / 1
LCM(7207,7215) = 51998505 / 1
LCM(7207,7215) = 51998505

Least Common Multiple (LCM) of 7207 and 7215 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7207 and 7215. First we will calculate the prime factors of 7207 and 7215.

Prime Factorization of 7207

Prime factors of 7207 are 7207. Prime factorization of 7207 in exponential form is:

7207 = 72071

Prime Factorization of 7215

Prime factors of 7215 are 3, 5, 13, 37. Prime factorization of 7215 in exponential form is:

7215 = 31 × 51 × 131 × 371

Now multiplying the highest exponent prime factors to calculate the LCM of 7207 and 7215.

LCM(7207,7215) = 72071 × 31 × 51 × 131 × 371
LCM(7207,7215) = 51998505