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What is the Least Common Multiple of 41542 and 41551?

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 41542 and 41551 is 1726111642.

LCM(41542,41551) = 1726111642

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Least Common Multiple of 41542 and 41551 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41542 and 41551, than apply into the LCM equation.

GCF(41542,41551) = 1
LCM(41542,41551) = ( 41542 × 41551) / 1
LCM(41542,41551) = 1726111642 / 1
LCM(41542,41551) = 1726111642

Least Common Multiple (LCM) of 41542 and 41551 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41542 and 41551. First we will calculate the prime factors of 41542 and 41551.

Prime Factorization of 41542

Prime factors of 41542 are 2, 20771. Prime factorization of 41542 in exponential form is:

41542 = 21 × 207711

Prime Factorization of 41551

Prime factors of 41551 are 37, 1123. Prime factorization of 41551 in exponential form is:

41551 = 371 × 11231

Now multiplying the highest exponent prime factors to calculate the LCM of 41542 and 41551.

LCM(41542,41551) = 21 × 207711 × 371 × 11231
LCM(41542,41551) = 1726111642