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What is the Least Common Multiple of 93495 and 93514?

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 93495 and 93514 is 8743091430.

LCM(93495,93514) = 8743091430

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Least Common Multiple of 93495 and 93514 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93495 and 93514, than apply into the LCM equation.

GCF(93495,93514) = 1
LCM(93495,93514) = ( 93495 × 93514) / 1
LCM(93495,93514) = 8743091430 / 1
LCM(93495,93514) = 8743091430

Least Common Multiple (LCM) of 93495 and 93514 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93495 and 93514. First we will calculate the prime factors of 93495 and 93514.

Prime Factorization of 93495

Prime factors of 93495 are 3, 5, 23, 271. Prime factorization of 93495 in exponential form is:

93495 = 31 × 51 × 231 × 2711

Prime Factorization of 93514

Prime factors of 93514 are 2, 46757. Prime factorization of 93514 in exponential form is:

93514 = 21 × 467571

Now multiplying the highest exponent prime factors to calculate the LCM of 93495 and 93514.

LCM(93495,93514) = 31 × 51 × 231 × 2711 × 21 × 467571
LCM(93495,93514) = 8743091430