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What is the Least Common Multiple of 54148 and 54168?

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 54148 and 54168 is 733272216.

LCM(54148,54168) = 733272216

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Least Common Multiple of 54148 and 54168 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54148 and 54168, than apply into the LCM equation.

GCF(54148,54168) = 4
LCM(54148,54168) = ( 54148 × 54168) / 4
LCM(54148,54168) = 2933088864 / 4
LCM(54148,54168) = 733272216

Least Common Multiple (LCM) of 54148 and 54168 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54148 and 54168. First we will calculate the prime factors of 54148 and 54168.

Prime Factorization of 54148

Prime factors of 54148 are 2, 13537. Prime factorization of 54148 in exponential form is:

54148 = 22 × 135371

Prime Factorization of 54168

Prime factors of 54168 are 2, 3, 37, 61. Prime factorization of 54168 in exponential form is:

54168 = 23 × 31 × 371 × 611

Now multiplying the highest exponent prime factors to calculate the LCM of 54148 and 54168.

LCM(54148,54168) = 23 × 135371 × 31 × 371 × 611
LCM(54148,54168) = 733272216