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What is the Least Common Multiple of 6101 and 6110?

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 6101 and 6110 is 37277110.

LCM(6101,6110) = 37277110

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Least Common Multiple of 6101 and 6110 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6101 and 6110, than apply into the LCM equation.

GCF(6101,6110) = 1
LCM(6101,6110) = ( 6101 × 6110) / 1
LCM(6101,6110) = 37277110 / 1
LCM(6101,6110) = 37277110

Least Common Multiple (LCM) of 6101 and 6110 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6101 and 6110. First we will calculate the prime factors of 6101 and 6110.

Prime Factorization of 6101

Prime factors of 6101 are 6101. Prime factorization of 6101 in exponential form is:

6101 = 61011

Prime Factorization of 6110

Prime factors of 6110 are 2, 5, 13, 47. Prime factorization of 6110 in exponential form is:

6110 = 21 × 51 × 131 × 471

Now multiplying the highest exponent prime factors to calculate the LCM of 6101 and 6110.

LCM(6101,6110) = 61011 × 21 × 51 × 131 × 471
LCM(6101,6110) = 37277110