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What is the Least Common Multiple of 67158 and 67162?

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 67158 and 67162 is 2255232798.

LCM(67158,67162) = 2255232798

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Least Common Multiple of 67158 and 67162 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67158 and 67162, than apply into the LCM equation.

GCF(67158,67162) = 2
LCM(67158,67162) = ( 67158 × 67162) / 2
LCM(67158,67162) = 4510465596 / 2
LCM(67158,67162) = 2255232798

Least Common Multiple (LCM) of 67158 and 67162 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67158 and 67162. First we will calculate the prime factors of 67158 and 67162.

Prime Factorization of 67158

Prime factors of 67158 are 2, 3, 7, 13, 41. Prime factorization of 67158 in exponential form is:

67158 = 21 × 32 × 71 × 131 × 411

Prime Factorization of 67162

Prime factors of 67162 are 2, 33581. Prime factorization of 67162 in exponential form is:

67162 = 21 × 335811

Now multiplying the highest exponent prime factors to calculate the LCM of 67158 and 67162.

LCM(67158,67162) = 21 × 32 × 71 × 131 × 411 × 335811
LCM(67158,67162) = 2255232798