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What is the Least Common Multiple of 40147 and 40158?

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 40147 and 40158 is 1612223226.

LCM(40147,40158) = 1612223226

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Least Common Multiple of 40147 and 40158 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40147 and 40158, than apply into the LCM equation.

GCF(40147,40158) = 1
LCM(40147,40158) = ( 40147 × 40158) / 1
LCM(40147,40158) = 1612223226 / 1
LCM(40147,40158) = 1612223226

Least Common Multiple (LCM) of 40147 and 40158 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40147 and 40158. First we will calculate the prime factors of 40147 and 40158.

Prime Factorization of 40147

Prime factors of 40147 are 19, 2113. Prime factorization of 40147 in exponential form is:

40147 = 191 × 21131

Prime Factorization of 40158

Prime factors of 40158 are 2, 3, 23, 97. Prime factorization of 40158 in exponential form is:

40158 = 21 × 32 × 231 × 971

Now multiplying the highest exponent prime factors to calculate the LCM of 40147 and 40158.

LCM(40147,40158) = 191 × 21131 × 21 × 32 × 231 × 971
LCM(40147,40158) = 1612223226