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What is the Least Common Multiple of 54910 and 54921?

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 54910 and 54921 is 3015712110.

LCM(54910,54921) = 3015712110

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Least Common Multiple of 54910 and 54921 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54910 and 54921, than apply into the LCM equation.

GCF(54910,54921) = 1
LCM(54910,54921) = ( 54910 × 54921) / 1
LCM(54910,54921) = 3015712110 / 1
LCM(54910,54921) = 3015712110

Least Common Multiple (LCM) of 54910 and 54921 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54910 and 54921. First we will calculate the prime factors of 54910 and 54921.

Prime Factorization of 54910

Prime factors of 54910 are 2, 5, 17, 19. Prime factorization of 54910 in exponential form is:

54910 = 21 × 51 × 172 × 191

Prime Factorization of 54921

Prime factors of 54921 are 3, 18307. Prime factorization of 54921 in exponential form is:

54921 = 31 × 183071

Now multiplying the highest exponent prime factors to calculate the LCM of 54910 and 54921.

LCM(54910,54921) = 21 × 51 × 172 × 191 × 31 × 183071
LCM(54910,54921) = 3015712110