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What is the Least Common Multiple of 54255 and 54270?

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 54255 and 54270 is 196294590.

LCM(54255,54270) = 196294590

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Least Common Multiple of 54255 and 54270 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54255 and 54270, than apply into the LCM equation.

GCF(54255,54270) = 15
LCM(54255,54270) = ( 54255 × 54270) / 15
LCM(54255,54270) = 2944418850 / 15
LCM(54255,54270) = 196294590

Least Common Multiple (LCM) of 54255 and 54270 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54255 and 54270. First we will calculate the prime factors of 54255 and 54270.

Prime Factorization of 54255

Prime factors of 54255 are 3, 5, 3617. Prime factorization of 54255 in exponential form is:

54255 = 31 × 51 × 36171

Prime Factorization of 54270

Prime factors of 54270 are 2, 3, 5, 67. Prime factorization of 54270 in exponential form is:

54270 = 21 × 34 × 51 × 671

Now multiplying the highest exponent prime factors to calculate the LCM of 54255 and 54270.

LCM(54255,54270) = 34 × 51 × 36171 × 21 × 671
LCM(54255,54270) = 196294590