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What is the Least Common Multiple of 54212 and 54227?

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 54212 and 54227 is 2939754124.

LCM(54212,54227) = 2939754124

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Least Common Multiple of 54212 and 54227 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54212 and 54227, than apply into the LCM equation.

GCF(54212,54227) = 1
LCM(54212,54227) = ( 54212 × 54227) / 1
LCM(54212,54227) = 2939754124 / 1
LCM(54212,54227) = 2939754124

Least Common Multiple (LCM) of 54212 and 54227 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54212 and 54227. First we will calculate the prime factors of 54212 and 54227.

Prime Factorization of 54212

Prime factors of 54212 are 2, 13553. Prime factorization of 54212 in exponential form is:

54212 = 22 × 135531

Prime Factorization of 54227

Prime factors of 54227 are 211, 257. Prime factorization of 54227 in exponential form is:

54227 = 2111 × 2571

Now multiplying the highest exponent prime factors to calculate the LCM of 54212 and 54227.

LCM(54212,54227) = 22 × 135531 × 2111 × 2571
LCM(54212,54227) = 2939754124