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What is the Least Common Multiple of 67206 and 67219?

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 67206 and 67219 is 4517520114.

LCM(67206,67219) = 4517520114

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Least Common Multiple of 67206 and 67219 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67206 and 67219, than apply into the LCM equation.

GCF(67206,67219) = 1
LCM(67206,67219) = ( 67206 × 67219) / 1
LCM(67206,67219) = 4517520114 / 1
LCM(67206,67219) = 4517520114

Least Common Multiple (LCM) of 67206 and 67219 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67206 and 67219. First we will calculate the prime factors of 67206 and 67219.

Prime Factorization of 67206

Prime factors of 67206 are 2, 3, 23, 487. Prime factorization of 67206 in exponential form is:

67206 = 21 × 31 × 231 × 4871

Prime Factorization of 67219

Prime factors of 67219 are 67219. Prime factorization of 67219 in exponential form is:

67219 = 672191

Now multiplying the highest exponent prime factors to calculate the LCM of 67206 and 67219.

LCM(67206,67219) = 21 × 31 × 231 × 4871 × 672191
LCM(67206,67219) = 4517520114