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What is the Least Common Multiple of 54178 and 54192?

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 54178 and 54192 is 1468007088.

LCM(54178,54192) = 1468007088

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Least Common Multiple of 54178 and 54192 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54178 and 54192, than apply into the LCM equation.

GCF(54178,54192) = 2
LCM(54178,54192) = ( 54178 × 54192) / 2
LCM(54178,54192) = 2936014176 / 2
LCM(54178,54192) = 1468007088

Least Common Multiple (LCM) of 54178 and 54192 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54178 and 54192. First we will calculate the prime factors of 54178 and 54192.

Prime Factorization of 54178

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

54178 = 21 × 1031 × 2631

Prime Factorization of 54192

Prime factors of 54192 are 2, 3, 1129. Prime factorization of 54192 in exponential form is:

54192 = 24 × 31 × 11291

Now multiplying the highest exponent prime factors to calculate the LCM of 54178 and 54192.

LCM(54178,54192) = 24 × 1031 × 2631 × 31 × 11291
LCM(54178,54192) = 1468007088