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What is the Least Common Multiple of 54068 and 54072?

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 54068 and 54072 is 730891224.

LCM(54068,54072) = 730891224

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Least Common Multiple of 54068 and 54072 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54068 and 54072, than apply into the LCM equation.

GCF(54068,54072) = 4
LCM(54068,54072) = ( 54068 × 54072) / 4
LCM(54068,54072) = 2923564896 / 4
LCM(54068,54072) = 730891224

Least Common Multiple (LCM) of 54068 and 54072 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54068 and 54072. First we will calculate the prime factors of 54068 and 54072.

Prime Factorization of 54068

Prime factors of 54068 are 2, 7, 1931. Prime factorization of 54068 in exponential form is:

54068 = 22 × 71 × 19311

Prime Factorization of 54072

Prime factors of 54072 are 2, 3, 751. Prime factorization of 54072 in exponential form is:

54072 = 23 × 32 × 7511

Now multiplying the highest exponent prime factors to calculate the LCM of 54068 and 54072.

LCM(54068,54072) = 23 × 71 × 19311 × 32 × 7511
LCM(54068,54072) = 730891224