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What is the Least Common Multiple of 42637 and 42650?

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 42637 and 42650 is 1818468050.

LCM(42637,42650) = 1818468050

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Least Common Multiple of 42637 and 42650 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42637 and 42650, than apply into the LCM equation.

GCF(42637,42650) = 1
LCM(42637,42650) = ( 42637 × 42650) / 1
LCM(42637,42650) = 1818468050 / 1
LCM(42637,42650) = 1818468050

Least Common Multiple (LCM) of 42637 and 42650 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42637 and 42650. First we will calculate the prime factors of 42637 and 42650.

Prime Factorization of 42637

Prime factors of 42637 are 7, 6091. Prime factorization of 42637 in exponential form is:

42637 = 71 × 60911

Prime Factorization of 42650

Prime factors of 42650 are 2, 5, 853. Prime factorization of 42650 in exponential form is:

42650 = 21 × 52 × 8531

Now multiplying the highest exponent prime factors to calculate the LCM of 42637 and 42650.

LCM(42637,42650) = 71 × 60911 × 21 × 52 × 8531
LCM(42637,42650) = 1818468050