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What is the Least Common Multiple of 54211 and 54228?

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 54211 and 54228 is 2939754108.

LCM(54211,54228) = 2939754108

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Least Common Multiple of 54211 and 54228 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54211 and 54228, than apply into the LCM equation.

GCF(54211,54228) = 1
LCM(54211,54228) = ( 54211 × 54228) / 1
LCM(54211,54228) = 2939754108 / 1
LCM(54211,54228) = 2939754108

Least Common Multiple (LCM) of 54211 and 54228 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54211 and 54228. First we will calculate the prime factors of 54211 and 54228.

Prime Factorization of 54211

Prime factors of 54211 are 23, 2357. Prime factorization of 54211 in exponential form is:

54211 = 231 × 23571

Prime Factorization of 54228

Prime factors of 54228 are 2, 3, 4519. Prime factorization of 54228 in exponential form is:

54228 = 22 × 31 × 45191

Now multiplying the highest exponent prime factors to calculate the LCM of 54211 and 54228.

LCM(54211,54228) = 231 × 23571 × 22 × 31 × 45191
LCM(54211,54228) = 2939754108