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What is the Least Common Multiple of 54221 and 54236?

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 54221 and 54236 is 2940730156.

LCM(54221,54236) = 2940730156

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Least Common Multiple of 54221 and 54236 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54221 and 54236, than apply into the LCM equation.

GCF(54221,54236) = 1
LCM(54221,54236) = ( 54221 × 54236) / 1
LCM(54221,54236) = 2940730156 / 1
LCM(54221,54236) = 2940730156

Least Common Multiple (LCM) of 54221 and 54236 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54221 and 54236. First we will calculate the prime factors of 54221 and 54236.

Prime Factorization of 54221

Prime factors of 54221 are 59, 919. Prime factorization of 54221 in exponential form is:

54221 = 591 × 9191

Prime Factorization of 54236

Prime factors of 54236 are 2, 7, 13, 149. Prime factorization of 54236 in exponential form is:

54236 = 22 × 71 × 131 × 1491

Now multiplying the highest exponent prime factors to calculate the LCM of 54221 and 54236.

LCM(54221,54236) = 591 × 9191 × 22 × 71 × 131 × 1491
LCM(54221,54236) = 2940730156