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What is the Least Common Multiple of 54909 and 54916?

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 54916 is 3015382644.

LCM(54909,54916) = 3015382644

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Least Common Multiple of 54909 and 54916 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 54916, than apply into the LCM equation.

GCF(54909,54916) = 1
LCM(54909,54916) = ( 54909 × 54916) / 1
LCM(54909,54916) = 3015382644 / 1
LCM(54909,54916) = 3015382644

Least Common Multiple (LCM) of 54909 and 54916 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54909 and 54916. First we will calculate the prime factors of 54909 and 54916.

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 54916

Prime factors of 54916 are 2, 13729. Prime factorization of 54916 in exponential form is:

54916 = 22 × 137291

Now multiplying the highest exponent prime factors to calculate the LCM of 54909 and 54916.

LCM(54909,54916) = 32 × 61011 × 22 × 137291
LCM(54909,54916) = 3015382644