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What is the Least Common Multiple of 93461 and 93480?

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 93461 and 93480 is 459828120.

LCM(93461,93480) = 459828120

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Least Common Multiple of 93461 and 93480 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93461 and 93480, than apply into the LCM equation.

GCF(93461,93480) = 19
LCM(93461,93480) = ( 93461 × 93480) / 19
LCM(93461,93480) = 8736734280 / 19
LCM(93461,93480) = 459828120

Least Common Multiple (LCM) of 93461 and 93480 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93461 and 93480. First we will calculate the prime factors of 93461 and 93480.

Prime Factorization of 93461

Prime factors of 93461 are 19, 4919. Prime factorization of 93461 in exponential form is:

93461 = 191 × 49191

Prime Factorization of 93480

Prime factors of 93480 are 2, 3, 5, 19, 41. Prime factorization of 93480 in exponential form is:

93480 = 23 × 31 × 51 × 191 × 411

Now multiplying the highest exponent prime factors to calculate the LCM of 93461 and 93480.

LCM(93461,93480) = 191 × 49191 × 23 × 31 × 51 × 411
LCM(93461,93480) = 459828120