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What is the Least Common Multiple of 1201 and 1207?

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 1201 and 1207 is 1449607.

LCM(1201,1207) = 1449607

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Least Common Multiple of 1201 and 1207 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1201 and 1207, than apply into the LCM equation.

GCF(1201,1207) = 1
LCM(1201,1207) = ( 1201 × 1207) / 1
LCM(1201,1207) = 1449607 / 1
LCM(1201,1207) = 1449607

Least Common Multiple (LCM) of 1201 and 1207 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1201 and 1207. First we will calculate the prime factors of 1201 and 1207.

Prime Factorization of 1201

Prime factors of 1201 are 1201. Prime factorization of 1201 in exponential form is:

1201 = 12011

Prime Factorization of 1207

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

1207 = 171 × 711

Now multiplying the highest exponent prime factors to calculate the LCM of 1201 and 1207.

LCM(1201,1207) = 12011 × 171 × 711
LCM(1201,1207) = 1449607