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What is the Least Common Multiple of 49751 and 49768?

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 49751 and 49768 is 2476007768.

LCM(49751,49768) = 2476007768

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Least Common Multiple of 49751 and 49768 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49751 and 49768, than apply into the LCM equation.

GCF(49751,49768) = 1
LCM(49751,49768) = ( 49751 × 49768) / 1
LCM(49751,49768) = 2476007768 / 1
LCM(49751,49768) = 2476007768

Least Common Multiple (LCM) of 49751 and 49768 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49751 and 49768. First we will calculate the prime factors of 49751 and 49768.

Prime Factorization of 49751

Prime factors of 49751 are 13, 43, 89. Prime factorization of 49751 in exponential form is:

49751 = 131 × 431 × 891

Prime Factorization of 49768

Prime factors of 49768 are 2, 6221. Prime factorization of 49768 in exponential form is:

49768 = 23 × 62211

Now multiplying the highest exponent prime factors to calculate the LCM of 49751 and 49768.

LCM(49751,49768) = 131 × 431 × 891 × 23 × 62211
LCM(49751,49768) = 2476007768