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What is the Least Common Multiple of 53143 and 53150?

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 53143 and 53150 is 2824550450.

LCM(53143,53150) = 2824550450

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Least Common Multiple of 53143 and 53150 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53143 and 53150, than apply into the LCM equation.

GCF(53143,53150) = 1
LCM(53143,53150) = ( 53143 × 53150) / 1
LCM(53143,53150) = 2824550450 / 1
LCM(53143,53150) = 2824550450

Least Common Multiple (LCM) of 53143 and 53150 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53143 and 53150. First we will calculate the prime factors of 53143 and 53150.

Prime Factorization of 53143

Prime factors of 53143 are 19, 2797. Prime factorization of 53143 in exponential form is:

53143 = 191 × 27971

Prime Factorization of 53150

Prime factors of 53150 are 2, 5, 1063. Prime factorization of 53150 in exponential form is:

53150 = 21 × 52 × 10631

Now multiplying the highest exponent prime factors to calculate the LCM of 53143 and 53150.

LCM(53143,53150) = 191 × 27971 × 21 × 52 × 10631
LCM(53143,53150) = 2824550450