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What is the Least Common Multiple of 1207 and 1215?

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 1207 and 1215 is 1466505.

LCM(1207,1215) = 1466505

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Least Common Multiple of 1207 and 1215 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1207 and 1215, than apply into the LCM equation.

GCF(1207,1215) = 1
LCM(1207,1215) = ( 1207 × 1215) / 1
LCM(1207,1215) = 1466505 / 1
LCM(1207,1215) = 1466505

Least Common Multiple (LCM) of 1207 and 1215 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1207 and 1215. First we will calculate the prime factors of 1207 and 1215.

Prime Factorization of 1207

Prime factors of 1207 are 17, 71. Prime factorization of 1207 in exponential form is:

1207 = 171 × 711

Prime Factorization of 1215

Prime factors of 1215 are 3, 5. Prime factorization of 1215 in exponential form is:

1215 = 35 × 51

Now multiplying the highest exponent prime factors to calculate the LCM of 1207 and 1215.

LCM(1207,1215) = 171 × 711 × 35 × 51
LCM(1207,1215) = 1466505