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What is the Least Common Multiple of 50542 and 50551?

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 50542 and 50551 is 2554948642.

LCM(50542,50551) = 2554948642

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Least Common Multiple of 50542 and 50551 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50542 and 50551, than apply into the LCM equation.

GCF(50542,50551) = 1
LCM(50542,50551) = ( 50542 × 50551) / 1
LCM(50542,50551) = 2554948642 / 1
LCM(50542,50551) = 2554948642

Least Common Multiple (LCM) of 50542 and 50551 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50542 and 50551. First we will calculate the prime factors of 50542 and 50551.

Prime Factorization of 50542

Prime factors of 50542 are 2, 37, 683. Prime factorization of 50542 in exponential form is:

50542 = 21 × 371 × 6831

Prime Factorization of 50551

Prime factors of 50551 are 50551. Prime factorization of 50551 in exponential form is:

50551 = 505511

Now multiplying the highest exponent prime factors to calculate the LCM of 50542 and 50551.

LCM(50542,50551) = 21 × 371 × 6831 × 505511
LCM(50542,50551) = 2554948642