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What is the Least Common Multiple of 7444 and 7450?

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 7444 and 7450 is 27728900.

LCM(7444,7450) = 27728900

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Least Common Multiple of 7444 and 7450 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7444 and 7450, than apply into the LCM equation.

GCF(7444,7450) = 2
LCM(7444,7450) = ( 7444 × 7450) / 2
LCM(7444,7450) = 55457800 / 2
LCM(7444,7450) = 27728900

Least Common Multiple (LCM) of 7444 and 7450 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7444 and 7450. First we will calculate the prime factors of 7444 and 7450.

Prime Factorization of 7444

Prime factors of 7444 are 2, 1861. Prime factorization of 7444 in exponential form is:

7444 = 22 × 18611

Prime Factorization of 7450

Prime factors of 7450 are 2, 5, 149. Prime factorization of 7450 in exponential form is:

7450 = 21 × 52 × 1491

Now multiplying the highest exponent prime factors to calculate the LCM of 7444 and 7450.

LCM(7444,7450) = 22 × 18611 × 52 × 1491
LCM(7444,7450) = 27728900