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What is the Least Common Multiple of 54989 and 54995?

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 54989 and 54995 is 3024120055.

LCM(54989,54995) = 3024120055

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Least Common Multiple of 54989 and 54995 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54989 and 54995, than apply into the LCM equation.

GCF(54989,54995) = 1
LCM(54989,54995) = ( 54989 × 54995) / 1
LCM(54989,54995) = 3024120055 / 1
LCM(54989,54995) = 3024120055

Least Common Multiple (LCM) of 54989 and 54995 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54989 and 54995. First we will calculate the prime factors of 54989 and 54995.

Prime Factorization of 54989

Prime factors of 54989 are 11, 4999. Prime factorization of 54989 in exponential form is:

54989 = 111 × 49991

Prime Factorization of 54995

Prime factors of 54995 are 5, 17, 647. Prime factorization of 54995 in exponential form is:

54995 = 51 × 171 × 6471

Now multiplying the highest exponent prime factors to calculate the LCM of 54989 and 54995.

LCM(54989,54995) = 111 × 49991 × 51 × 171 × 6471
LCM(54989,54995) = 3024120055