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What is the Least Common Multiple of 50138 and 50157?

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 50138 and 50157 is 2514771666.

LCM(50138,50157) = 2514771666

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Least Common Multiple of 50138 and 50157 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50138 and 50157, than apply into the LCM equation.

GCF(50138,50157) = 1
LCM(50138,50157) = ( 50138 × 50157) / 1
LCM(50138,50157) = 2514771666 / 1
LCM(50138,50157) = 2514771666

Least Common Multiple (LCM) of 50138 and 50157 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50138 and 50157. First we will calculate the prime factors of 50138 and 50157.

Prime Factorization of 50138

Prime factors of 50138 are 2, 11, 43, 53. Prime factorization of 50138 in exponential form is:

50138 = 21 × 111 × 431 × 531

Prime Factorization of 50157

Prime factors of 50157 are 3, 5573. Prime factorization of 50157 in exponential form is:

50157 = 32 × 55731

Now multiplying the highest exponent prime factors to calculate the LCM of 50138 and 50157.

LCM(50138,50157) = 21 × 111 × 431 × 531 × 32 × 55731
LCM(50138,50157) = 2514771666