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What is the Least Common Multiple of 67210 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 67210 and 67219 is 4517788990.

LCM(67210,67219) = 4517788990

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Least Common Multiple of 67210 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 67210 and 67219, than apply into the LCM equation.

GCF(67210,67219) = 1
LCM(67210,67219) = ( 67210 × 67219) / 1
LCM(67210,67219) = 4517788990 / 1
LCM(67210,67219) = 4517788990

Least Common Multiple (LCM) of 67210 and 67219 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67210 and 67219. First we will calculate the prime factors of 67210 and 67219.

Prime Factorization of 67210

Prime factors of 67210 are 2, 5, 11, 13, 47. Prime factorization of 67210 in exponential form is:

67210 = 21 × 51 × 111 × 131 × 471

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 67210 and 67219.

LCM(67210,67219) = 21 × 51 × 111 × 131 × 471 × 672191
LCM(67210,67219) = 4517788990