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What is the Least Common Multiple of 40877 and 40885?

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 40877 and 40885 is 1671256145.

LCM(40877,40885) = 1671256145

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Least Common Multiple of 40877 and 40885 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40877 and 40885, than apply into the LCM equation.

GCF(40877,40885) = 1
LCM(40877,40885) = ( 40877 × 40885) / 1
LCM(40877,40885) = 1671256145 / 1
LCM(40877,40885) = 1671256145

Least Common Multiple (LCM) of 40877 and 40885 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40877 and 40885. First we will calculate the prime factors of 40877 and 40885.

Prime Factorization of 40877

Prime factors of 40877 are 41, 997. Prime factorization of 40877 in exponential form is:

40877 = 411 × 9971

Prime Factorization of 40885

Prime factors of 40885 are 5, 13, 17, 37. Prime factorization of 40885 in exponential form is:

40885 = 51 × 131 × 171 × 371

Now multiplying the highest exponent prime factors to calculate the LCM of 40877 and 40885.

LCM(40877,40885) = 411 × 9971 × 51 × 131 × 171 × 371
LCM(40877,40885) = 1671256145