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What is the Least Common Multiple of 49107 and 49118?

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 49107 and 49118 is 2412037626.

LCM(49107,49118) = 2412037626

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Least Common Multiple of 49107 and 49118 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49107 and 49118, than apply into the LCM equation.

GCF(49107,49118) = 1
LCM(49107,49118) = ( 49107 × 49118) / 1
LCM(49107,49118) = 2412037626 / 1
LCM(49107,49118) = 2412037626

Least Common Multiple (LCM) of 49107 and 49118 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49107 and 49118. First we will calculate the prime factors of 49107 and 49118.

Prime Factorization of 49107

Prime factors of 49107 are 3, 16369. Prime factorization of 49107 in exponential form is:

49107 = 31 × 163691

Prime Factorization of 49118

Prime factors of 49118 are 2, 41, 599. Prime factorization of 49118 in exponential form is:

49118 = 21 × 411 × 5991

Now multiplying the highest exponent prime factors to calculate the LCM of 49107 and 49118.

LCM(49107,49118) = 31 × 163691 × 21 × 411 × 5991
LCM(49107,49118) = 2412037626