GCF and LCM Calculator Logo

What is the Least Common Multiple of 1201 and 1206?

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 1206 is 1448406.

LCM(1201,1206) = 1448406

LCM Calculator and
and

Least Common Multiple of 1201 and 1206 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 1206, than apply into the LCM equation.

GCF(1201,1206) = 1
LCM(1201,1206) = ( 1201 × 1206) / 1
LCM(1201,1206) = 1448406 / 1
LCM(1201,1206) = 1448406

Least Common Multiple (LCM) of 1201 and 1206 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1201 and 1206. First we will calculate the prime factors of 1201 and 1206.

Prime Factorization of 1201

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

1201 = 12011

Prime Factorization of 1206

Prime factors of 1206 are 2, 3, 67. Prime factorization of 1206 in exponential form is:

1206 = 21 × 32 × 671

Now multiplying the highest exponent prime factors to calculate the LCM of 1201 and 1206.

LCM(1201,1206) = 12011 × 21 × 32 × 671
LCM(1201,1206) = 1448406