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What is the Least Common Multiple of 54153 and 54158?

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 54153 and 54158 is 2932818174.

LCM(54153,54158) = 2932818174

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Least Common Multiple of 54153 and 54158 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54153 and 54158, than apply into the LCM equation.

GCF(54153,54158) = 1
LCM(54153,54158) = ( 54153 × 54158) / 1
LCM(54153,54158) = 2932818174 / 1
LCM(54153,54158) = 2932818174

Least Common Multiple (LCM) of 54153 and 54158 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54153 and 54158. First we will calculate the prime factors of 54153 and 54158.

Prime Factorization of 54153

Prime factors of 54153 are 3, 11, 547. Prime factorization of 54153 in exponential form is:

54153 = 32 × 111 × 5471

Prime Factorization of 54158

Prime factors of 54158 are 2, 13, 2083. Prime factorization of 54158 in exponential form is:

54158 = 21 × 131 × 20831

Now multiplying the highest exponent prime factors to calculate the LCM of 54153 and 54158.

LCM(54153,54158) = 32 × 111 × 5471 × 21 × 131 × 20831
LCM(54153,54158) = 2932818174