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What is the Least Common Multiple of 41671 and 41677?

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 41671 and 41677 is 1736722267.

LCM(41671,41677) = 1736722267

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Least Common Multiple of 41671 and 41677 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41671 and 41677, than apply into the LCM equation.

GCF(41671,41677) = 1
LCM(41671,41677) = ( 41671 × 41677) / 1
LCM(41671,41677) = 1736722267 / 1
LCM(41671,41677) = 1736722267

Least Common Multiple (LCM) of 41671 and 41677 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41671 and 41677. First we will calculate the prime factors of 41671 and 41677.

Prime Factorization of 41671

Prime factors of 41671 are 7, 5953. Prime factorization of 41671 in exponential form is:

41671 = 71 × 59531

Prime Factorization of 41677

Prime factors of 41677 are 71, 587. Prime factorization of 41677 in exponential form is:

41677 = 711 × 5871

Now multiplying the highest exponent prime factors to calculate the LCM of 41671 and 41677.

LCM(41671,41677) = 71 × 59531 × 711 × 5871
LCM(41671,41677) = 1736722267