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What is the Least Common Multiple of 50707 and 50718?

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 50707 and 50718 is 2571757626.

LCM(50707,50718) = 2571757626

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Least Common Multiple of 50707 and 50718 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50707 and 50718, than apply into the LCM equation.

GCF(50707,50718) = 1
LCM(50707,50718) = ( 50707 × 50718) / 1
LCM(50707,50718) = 2571757626 / 1
LCM(50707,50718) = 2571757626

Least Common Multiple (LCM) of 50707 and 50718 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50707 and 50718. First we will calculate the prime factors of 50707 and 50718.

Prime Factorization of 50707

Prime factors of 50707 are 50707. Prime factorization of 50707 in exponential form is:

50707 = 507071

Prime Factorization of 50718

Prime factors of 50718 are 2, 3, 79, 107. Prime factorization of 50718 in exponential form is:

50718 = 21 × 31 × 791 × 1071

Now multiplying the highest exponent prime factors to calculate the LCM of 50707 and 50718.

LCM(50707,50718) = 507071 × 21 × 31 × 791 × 1071
LCM(50707,50718) = 2571757626