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What is the Least Common Multiple of 54162 and 54178?

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 54162 and 54178 is 1467194418.

LCM(54162,54178) = 1467194418

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Least Common Multiple of 54162 and 54178 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54162 and 54178, than apply into the LCM equation.

GCF(54162,54178) = 2
LCM(54162,54178) = ( 54162 × 54178) / 2
LCM(54162,54178) = 2934388836 / 2
LCM(54162,54178) = 1467194418

Least Common Multiple (LCM) of 54162 and 54178 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54162 and 54178. First we will calculate the prime factors of 54162 and 54178.

Prime Factorization of 54162

Prime factors of 54162 are 2, 3, 17, 59. Prime factorization of 54162 in exponential form is:

54162 = 21 × 33 × 171 × 591

Prime Factorization of 54178

Prime factors of 54178 are 2, 103, 263. Prime factorization of 54178 in exponential form is:

54178 = 21 × 1031 × 2631

Now multiplying the highest exponent prime factors to calculate the LCM of 54162 and 54178.

LCM(54162,54178) = 21 × 33 × 171 × 591 × 1031 × 2631
LCM(54162,54178) = 1467194418