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What is the Least Common Multiple of 49672 and 49681?

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 49672 and 49681 is 2467754632.

LCM(49672,49681) = 2467754632

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Least Common Multiple of 49672 and 49681 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49672 and 49681, than apply into the LCM equation.

GCF(49672,49681) = 1
LCM(49672,49681) = ( 49672 × 49681) / 1
LCM(49672,49681) = 2467754632 / 1
LCM(49672,49681) = 2467754632

Least Common Multiple (LCM) of 49672 and 49681 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49672 and 49681. First we will calculate the prime factors of 49672 and 49681.

Prime Factorization of 49672

Prime factors of 49672 are 2, 7, 887. Prime factorization of 49672 in exponential form is:

49672 = 23 × 71 × 8871

Prime Factorization of 49681

Prime factors of 49681 are 49681. Prime factorization of 49681 in exponential form is:

49681 = 496811

Now multiplying the highest exponent prime factors to calculate the LCM of 49672 and 49681.

LCM(49672,49681) = 23 × 71 × 8871 × 496811
LCM(49672,49681) = 2467754632