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What is the Least Common Multiple of 54216 and 54222?

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 54222 is 489949992.

LCM(54216,54222) = 489949992

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Least Common Multiple of 54216 and 54222 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 54222, than apply into the LCM equation.

GCF(54216,54222) = 6
LCM(54216,54222) = ( 54216 × 54222) / 6
LCM(54216,54222) = 2939699952 / 6
LCM(54216,54222) = 489949992

Least Common Multiple (LCM) of 54216 and 54222 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54216 and 54222. First we will calculate the prime factors of 54216 and 54222.

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 54222

Prime factors of 54222 are 2, 3, 7, 1291. Prime factorization of 54222 in exponential form is:

54222 = 21 × 31 × 71 × 12911

Now multiplying the highest exponent prime factors to calculate the LCM of 54216 and 54222.

LCM(54216,54222) = 23 × 33 × 2511 × 71 × 12911
LCM(54216,54222) = 489949992