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What is the Least Common Multiple of 54232 and 54250?

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 54232 and 54250 is 1471043000.

LCM(54232,54250) = 1471043000

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Least Common Multiple of 54232 and 54250 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54232 and 54250, than apply into the LCM equation.

GCF(54232,54250) = 2
LCM(54232,54250) = ( 54232 × 54250) / 2
LCM(54232,54250) = 2942086000 / 2
LCM(54232,54250) = 1471043000

Least Common Multiple (LCM) of 54232 and 54250 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54232 and 54250. First we will calculate the prime factors of 54232 and 54250.

Prime Factorization of 54232

Prime factors of 54232 are 2, 6779. Prime factorization of 54232 in exponential form is:

54232 = 23 × 67791

Prime Factorization of 54250

Prime factors of 54250 are 2, 5, 7, 31. Prime factorization of 54250 in exponential form is:

54250 = 21 × 53 × 71 × 311

Now multiplying the highest exponent prime factors to calculate the LCM of 54232 and 54250.

LCM(54232,54250) = 23 × 67791 × 53 × 71 × 311
LCM(54232,54250) = 1471043000