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What is the Least Common Multiple of 11442 and 11450?

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 11442 and 11450 is 65505450.

LCM(11442,11450) = 65505450

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Least Common Multiple of 11442 and 11450 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11442 and 11450, than apply into the LCM equation.

GCF(11442,11450) = 2
LCM(11442,11450) = ( 11442 × 11450) / 2
LCM(11442,11450) = 131010900 / 2
LCM(11442,11450) = 65505450

Least Common Multiple (LCM) of 11442 and 11450 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11442 and 11450. First we will calculate the prime factors of 11442 and 11450.

Prime Factorization of 11442

Prime factors of 11442 are 2, 3, 1907. Prime factorization of 11442 in exponential form is:

11442 = 21 × 31 × 19071

Prime Factorization of 11450

Prime factors of 11450 are 2, 5, 229. Prime factorization of 11450 in exponential form is:

11450 = 21 × 52 × 2291

Now multiplying the highest exponent prime factors to calculate the LCM of 11442 and 11450.

LCM(11442,11450) = 21 × 31 × 19071 × 52 × 2291
LCM(11442,11450) = 65505450