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What is the Least Common Multiple of 67086 and 67102?

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 67086 and 67102 is 2250802386.

LCM(67086,67102) = 2250802386

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Least Common Multiple of 67086 and 67102 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67086 and 67102, than apply into the LCM equation.

GCF(67086,67102) = 2
LCM(67086,67102) = ( 67086 × 67102) / 2
LCM(67086,67102) = 4501604772 / 2
LCM(67086,67102) = 2250802386

Least Common Multiple (LCM) of 67086 and 67102 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67086 and 67102. First we will calculate the prime factors of 67086 and 67102.

Prime Factorization of 67086

Prime factors of 67086 are 2, 3, 3727. Prime factorization of 67086 in exponential form is:

67086 = 21 × 32 × 37271

Prime Factorization of 67102

Prime factors of 67102 are 2, 7, 4793. Prime factorization of 67102 in exponential form is:

67102 = 21 × 71 × 47931

Now multiplying the highest exponent prime factors to calculate the LCM of 67086 and 67102.

LCM(67086,67102) = 21 × 32 × 37271 × 71 × 47931
LCM(67086,67102) = 2250802386