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What is the Least Common Multiple of 54902 and 54915?

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 54902 and 54915 is 3014943330.

LCM(54902,54915) = 3014943330

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Least Common Multiple of 54902 and 54915 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54902 and 54915, than apply into the LCM equation.

GCF(54902,54915) = 1
LCM(54902,54915) = ( 54902 × 54915) / 1
LCM(54902,54915) = 3014943330 / 1
LCM(54902,54915) = 3014943330

Least Common Multiple (LCM) of 54902 and 54915 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54902 and 54915. First we will calculate the prime factors of 54902 and 54915.

Prime Factorization of 54902

Prime factors of 54902 are 2, 97, 283. Prime factorization of 54902 in exponential form is:

54902 = 21 × 971 × 2831

Prime Factorization of 54915

Prime factors of 54915 are 3, 5, 7, 523. Prime factorization of 54915 in exponential form is:

54915 = 31 × 51 × 71 × 5231

Now multiplying the highest exponent prime factors to calculate the LCM of 54902 and 54915.

LCM(54902,54915) = 21 × 971 × 2831 × 31 × 51 × 71 × 5231
LCM(54902,54915) = 3014943330