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What is the Least Common Multiple of 40147 and 40156?

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 40156 is 1612142932.

LCM(40147,40156) = 1612142932

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Least Common Multiple of 40147 and 40156 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 40156, than apply into the LCM equation.

GCF(40147,40156) = 1
LCM(40147,40156) = ( 40147 × 40156) / 1
LCM(40147,40156) = 1612142932 / 1
LCM(40147,40156) = 1612142932

Least Common Multiple (LCM) of 40147 and 40156 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40147 and 40156. First we will calculate the prime factors of 40147 and 40156.

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 40156

Prime factors of 40156 are 2, 10039. Prime factorization of 40156 in exponential form is:

40156 = 22 × 100391

Now multiplying the highest exponent prime factors to calculate the LCM of 40147 and 40156.

LCM(40147,40156) = 191 × 21131 × 22 × 100391
LCM(40147,40156) = 1612142932