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What is the Least Common Multiple of 47245 and 47250?

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 47245 and 47250 is 446465250.

LCM(47245,47250) = 446465250

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Least Common Multiple of 47245 and 47250 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47245 and 47250, than apply into the LCM equation.

GCF(47245,47250) = 5
LCM(47245,47250) = ( 47245 × 47250) / 5
LCM(47245,47250) = 2232326250 / 5
LCM(47245,47250) = 446465250

Least Common Multiple (LCM) of 47245 and 47250 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47245 and 47250. First we will calculate the prime factors of 47245 and 47250.

Prime Factorization of 47245

Prime factors of 47245 are 5, 11, 859. Prime factorization of 47245 in exponential form is:

47245 = 51 × 111 × 8591

Prime Factorization of 47250

Prime factors of 47250 are 2, 3, 5, 7. Prime factorization of 47250 in exponential form is:

47250 = 21 × 33 × 53 × 71

Now multiplying the highest exponent prime factors to calculate the LCM of 47245 and 47250.

LCM(47245,47250) = 53 × 111 × 8591 × 21 × 33 × 71
LCM(47245,47250) = 446465250