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What is the Least Common Multiple of 56094 and 56105?

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 56094 and 56105 is 3147153870.

LCM(56094,56105) = 3147153870

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Least Common Multiple of 56094 and 56105 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56094 and 56105, than apply into the LCM equation.

GCF(56094,56105) = 1
LCM(56094,56105) = ( 56094 × 56105) / 1
LCM(56094,56105) = 3147153870 / 1
LCM(56094,56105) = 3147153870

Least Common Multiple (LCM) of 56094 and 56105 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56094 and 56105. First we will calculate the prime factors of 56094 and 56105.

Prime Factorization of 56094

Prime factors of 56094 are 2, 3, 9349. Prime factorization of 56094 in exponential form is:

56094 = 21 × 31 × 93491

Prime Factorization of 56105

Prime factors of 56105 are 5, 7, 229. Prime factorization of 56105 in exponential form is:

56105 = 51 × 72 × 2291

Now multiplying the highest exponent prime factors to calculate the LCM of 56094 and 56105.

LCM(56094,56105) = 21 × 31 × 93491 × 51 × 72 × 2291
LCM(56094,56105) = 3147153870