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What is the Least Common Multiple of 56066 and 56083?

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 56066 and 56083 is 184961734.

LCM(56066,56083) = 184961734

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Least Common Multiple of 56066 and 56083 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56066 and 56083, than apply into the LCM equation.

GCF(56066,56083) = 17
LCM(56066,56083) = ( 56066 × 56083) / 17
LCM(56066,56083) = 3144349478 / 17
LCM(56066,56083) = 184961734

Least Common Multiple (LCM) of 56066 and 56083 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56066 and 56083. First we will calculate the prime factors of 56066 and 56083.

Prime Factorization of 56066

Prime factors of 56066 are 2, 17, 97. Prime factorization of 56066 in exponential form is:

56066 = 21 × 172 × 971

Prime Factorization of 56083

Prime factors of 56083 are 17, 3299. Prime factorization of 56083 in exponential form is:

56083 = 171 × 32991

Now multiplying the highest exponent prime factors to calculate the LCM of 56066 and 56083.

LCM(56066,56083) = 21 × 172 × 971 × 32991
LCM(56066,56083) = 184961734