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What is the Least Common Multiple of 94245 and 94255?

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 94245 and 94255 is 1776612495.

LCM(94245,94255) = 1776612495

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Least Common Multiple of 94245 and 94255 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94245 and 94255, than apply into the LCM equation.

GCF(94245,94255) = 5
LCM(94245,94255) = ( 94245 × 94255) / 5
LCM(94245,94255) = 8883062475 / 5
LCM(94245,94255) = 1776612495

Least Common Multiple (LCM) of 94245 and 94255 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94245 and 94255. First we will calculate the prime factors of 94245 and 94255.

Prime Factorization of 94245

Prime factors of 94245 are 3, 5, 61, 103. Prime factorization of 94245 in exponential form is:

94245 = 31 × 51 × 611 × 1031

Prime Factorization of 94255

Prime factors of 94255 are 5, 7, 2693. Prime factorization of 94255 in exponential form is:

94255 = 51 × 71 × 26931

Now multiplying the highest exponent prime factors to calculate the LCM of 94245 and 94255.

LCM(94245,94255) = 31 × 51 × 611 × 1031 × 71 × 26931
LCM(94245,94255) = 1776612495