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What is the Least Common Multiple of 67206 and 67218?

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 67218 is 752908818.

LCM(67206,67218) = 752908818

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Least Common Multiple of 67206 and 67218 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 67218, than apply into the LCM equation.

GCF(67206,67218) = 6
LCM(67206,67218) = ( 67206 × 67218) / 6
LCM(67206,67218) = 4517452908 / 6
LCM(67206,67218) = 752908818

Least Common Multiple (LCM) of 67206 and 67218 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67206 and 67218. First we will calculate the prime factors of 67206 and 67218.

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 67218

Prime factors of 67218 are 2, 3, 17, 659. Prime factorization of 67218 in exponential form is:

67218 = 21 × 31 × 171 × 6591

Now multiplying the highest exponent prime factors to calculate the LCM of 67206 and 67218.

LCM(67206,67218) = 21 × 31 × 231 × 4871 × 171 × 6591
LCM(67206,67218) = 752908818