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What is the Least Common Multiple of 42850 and 42863?

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 42850 and 42863 is 1836679550.

LCM(42850,42863) = 1836679550

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Least Common Multiple of 42850 and 42863 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42850 and 42863, than apply into the LCM equation.

GCF(42850,42863) = 1
LCM(42850,42863) = ( 42850 × 42863) / 1
LCM(42850,42863) = 1836679550 / 1
LCM(42850,42863) = 1836679550

Least Common Multiple (LCM) of 42850 and 42863 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42850 and 42863. First we will calculate the prime factors of 42850 and 42863.

Prime Factorization of 42850

Prime factors of 42850 are 2, 5, 857. Prime factorization of 42850 in exponential form is:

42850 = 21 × 52 × 8571

Prime Factorization of 42863

Prime factors of 42863 are 42863. Prime factorization of 42863 in exponential form is:

42863 = 428631

Now multiplying the highest exponent prime factors to calculate the LCM of 42850 and 42863.

LCM(42850,42863) = 21 × 52 × 8571 × 428631
LCM(42850,42863) = 1836679550