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What is the Least Common Multiple of 1206 and 1219?

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 1206 and 1219 is 1470114.

LCM(1206,1219) = 1470114

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Least Common Multiple of 1206 and 1219 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1206 and 1219, than apply into the LCM equation.

GCF(1206,1219) = 1
LCM(1206,1219) = ( 1206 × 1219) / 1
LCM(1206,1219) = 1470114 / 1
LCM(1206,1219) = 1470114

Least Common Multiple (LCM) of 1206 and 1219 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1206 and 1219. First we will calculate the prime factors of 1206 and 1219.

Prime Factorization of 1206

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

1206 = 21 × 32 × 671

Prime Factorization of 1219

Prime factors of 1219 are 23, 53. Prime factorization of 1219 in exponential form is:

1219 = 231 × 531

Now multiplying the highest exponent prime factors to calculate the LCM of 1206 and 1219.

LCM(1206,1219) = 21 × 32 × 671 × 231 × 531
LCM(1206,1219) = 1470114