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What is the Least Common Multiple of 42154 and 42158?

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 42154 and 42158 is 888564166.

LCM(42154,42158) = 888564166

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Least Common Multiple of 42154 and 42158 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42154 and 42158, than apply into the LCM equation.

GCF(42154,42158) = 2
LCM(42154,42158) = ( 42154 × 42158) / 2
LCM(42154,42158) = 1777128332 / 2
LCM(42154,42158) = 888564166

Least Common Multiple (LCM) of 42154 and 42158 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42154 and 42158. First we will calculate the prime factors of 42154 and 42158.

Prime Factorization of 42154

Prime factors of 42154 are 2, 7, 3011. Prime factorization of 42154 in exponential form is:

42154 = 21 × 71 × 30111

Prime Factorization of 42158

Prime factors of 42158 are 2, 107, 197. Prime factorization of 42158 in exponential form is:

42158 = 21 × 1071 × 1971

Now multiplying the highest exponent prime factors to calculate the LCM of 42154 and 42158.

LCM(42154,42158) = 21 × 71 × 30111 × 1071 × 1971
LCM(42154,42158) = 888564166