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What is the Least Common Multiple of 4150 and 4157?

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 4150 and 4157 is 17251550.

LCM(4150,4157) = 17251550

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Least Common Multiple of 4150 and 4157 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4150 and 4157, than apply into the LCM equation.

GCF(4150,4157) = 1
LCM(4150,4157) = ( 4150 × 4157) / 1
LCM(4150,4157) = 17251550 / 1
LCM(4150,4157) = 17251550

Least Common Multiple (LCM) of 4150 and 4157 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4150 and 4157. First we will calculate the prime factors of 4150 and 4157.

Prime Factorization of 4150

Prime factors of 4150 are 2, 5, 83. Prime factorization of 4150 in exponential form is:

4150 = 21 × 52 × 831

Prime Factorization of 4157

Prime factors of 4157 are 4157. Prime factorization of 4157 in exponential form is:

4157 = 41571

Now multiplying the highest exponent prime factors to calculate the LCM of 4150 and 4157.

LCM(4150,4157) = 21 × 52 × 831 × 41571
LCM(4150,4157) = 17251550