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What is the Least Common Multiple of 54202 and 54218?

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 54202 and 54218 is 1469362018.

LCM(54202,54218) = 1469362018

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Least Common Multiple of 54202 and 54218 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54202 and 54218, than apply into the LCM equation.

GCF(54202,54218) = 2
LCM(54202,54218) = ( 54202 × 54218) / 2
LCM(54202,54218) = 2938724036 / 2
LCM(54202,54218) = 1469362018

Least Common Multiple (LCM) of 54202 and 54218 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54202 and 54218. First we will calculate the prime factors of 54202 and 54218.

Prime Factorization of 54202

Prime factors of 54202 are 2, 41, 661. Prime factorization of 54202 in exponential form is:

54202 = 21 × 411 × 6611

Prime Factorization of 54218

Prime factors of 54218 are 2, 27109. Prime factorization of 54218 in exponential form is:

54218 = 21 × 271091

Now multiplying the highest exponent prime factors to calculate the LCM of 54202 and 54218.

LCM(54202,54218) = 21 × 411 × 6611 × 271091
LCM(54202,54218) = 1469362018