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What is the Least Common Multiple of 54216 and 54232?

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 54216 and 54232 is 367530264.

LCM(54216,54232) = 367530264

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Least Common Multiple of 54216 and 54232 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54216 and 54232, than apply into the LCM equation.

GCF(54216,54232) = 8
LCM(54216,54232) = ( 54216 × 54232) / 8
LCM(54216,54232) = 2940242112 / 8
LCM(54216,54232) = 367530264

Least Common Multiple (LCM) of 54216 and 54232 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54216 and 54232. First we will calculate the prime factors of 54216 and 54232.

Prime Factorization of 54216

Prime factors of 54216 are 2, 3, 251. Prime factorization of 54216 in exponential form is:

54216 = 23 × 33 × 2511

Prime Factorization of 54232

Prime factors of 54232 are 2, 6779. Prime factorization of 54232 in exponential form is:

54232 = 23 × 67791

Now multiplying the highest exponent prime factors to calculate the LCM of 54216 and 54232.

LCM(54216,54232) = 23 × 33 × 2511 × 67791
LCM(54216,54232) = 367530264