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What is the Least Common Multiple of 67018 and 67038?

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 67018 and 67038 is 2246376342.

LCM(67018,67038) = 2246376342

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Least Common Multiple of 67018 and 67038 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67018 and 67038, than apply into the LCM equation.

GCF(67018,67038) = 2
LCM(67018,67038) = ( 67018 × 67038) / 2
LCM(67018,67038) = 4492752684 / 2
LCM(67018,67038) = 2246376342

Least Common Multiple (LCM) of 67018 and 67038 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67018 and 67038. First we will calculate the prime factors of 67018 and 67038.

Prime Factorization of 67018

Prime factors of 67018 are 2, 7, 4787. Prime factorization of 67018 in exponential form is:

67018 = 21 × 71 × 47871

Prime Factorization of 67038

Prime factors of 67038 are 2, 3, 11173. Prime factorization of 67038 in exponential form is:

67038 = 21 × 31 × 111731

Now multiplying the highest exponent prime factors to calculate the LCM of 67018 and 67038.

LCM(67018,67038) = 21 × 71 × 47871 × 31 × 111731
LCM(67018,67038) = 2246376342