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What is the Least Common Multiple of 42167 and 42175?

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 42167 and 42175 is 1778393225.

LCM(42167,42175) = 1778393225

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Least Common Multiple of 42167 and 42175 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42167 and 42175, than apply into the LCM equation.

GCF(42167,42175) = 1
LCM(42167,42175) = ( 42167 × 42175) / 1
LCM(42167,42175) = 1778393225 / 1
LCM(42167,42175) = 1778393225

Least Common Multiple (LCM) of 42167 and 42175 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42167 and 42175. First we will calculate the prime factors of 42167 and 42175.

Prime Factorization of 42167

Prime factors of 42167 are 149, 283. Prime factorization of 42167 in exponential form is:

42167 = 1491 × 2831

Prime Factorization of 42175

Prime factors of 42175 are 5, 7, 241. Prime factorization of 42175 in exponential form is:

42175 = 52 × 71 × 2411

Now multiplying the highest exponent prime factors to calculate the LCM of 42167 and 42175.

LCM(42167,42175) = 1491 × 2831 × 52 × 71 × 2411
LCM(42167,42175) = 1778393225