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What is the Least Common Multiple of 54909 and 54917?

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 54909 and 54917 is 3015437553.

LCM(54909,54917) = 3015437553

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Least Common Multiple of 54909 and 54917 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54909 and 54917, than apply into the LCM equation.

GCF(54909,54917) = 1
LCM(54909,54917) = ( 54909 × 54917) / 1
LCM(54909,54917) = 3015437553 / 1
LCM(54909,54917) = 3015437553

Least Common Multiple (LCM) of 54909 and 54917 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54909 and 54917. First we will calculate the prime factors of 54909 and 54917.

Prime Factorization of 54909

Prime factors of 54909 are 3, 6101. Prime factorization of 54909 in exponential form is:

54909 = 32 × 61011

Prime Factorization of 54917

Prime factors of 54917 are 54917. Prime factorization of 54917 in exponential form is:

54917 = 549171

Now multiplying the highest exponent prime factors to calculate the LCM of 54909 and 54917.

LCM(54909,54917) = 32 × 61011 × 549171
LCM(54909,54917) = 3015437553