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What is the Least Common Multiple of 54923 and 54940?

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 54923 and 54940 is 3017469620.

LCM(54923,54940) = 3017469620

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Least Common Multiple of 54923 and 54940 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54923 and 54940, than apply into the LCM equation.

GCF(54923,54940) = 1
LCM(54923,54940) = ( 54923 × 54940) / 1
LCM(54923,54940) = 3017469620 / 1
LCM(54923,54940) = 3017469620

Least Common Multiple (LCM) of 54923 and 54940 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54923 and 54940. First we will calculate the prime factors of 54923 and 54940.

Prime Factorization of 54923

Prime factors of 54923 are 11, 4993. Prime factorization of 54923 in exponential form is:

54923 = 111 × 49931

Prime Factorization of 54940

Prime factors of 54940 are 2, 5, 41, 67. Prime factorization of 54940 in exponential form is:

54940 = 22 × 51 × 411 × 671

Now multiplying the highest exponent prime factors to calculate the LCM of 54923 and 54940.

LCM(54923,54940) = 111 × 49931 × 22 × 51 × 411 × 671
LCM(54923,54940) = 3017469620