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What is the Least Common Multiple of 6105 and 6119?

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 6105 and 6119 is 37356495.

LCM(6105,6119) = 37356495

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Least Common Multiple of 6105 and 6119 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6105 and 6119, than apply into the LCM equation.

GCF(6105,6119) = 1
LCM(6105,6119) = ( 6105 × 6119) / 1
LCM(6105,6119) = 37356495 / 1
LCM(6105,6119) = 37356495

Least Common Multiple (LCM) of 6105 and 6119 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6105 and 6119. First we will calculate the prime factors of 6105 and 6119.

Prime Factorization of 6105

Prime factors of 6105 are 3, 5, 11, 37. Prime factorization of 6105 in exponential form is:

6105 = 31 × 51 × 111 × 371

Prime Factorization of 6119

Prime factors of 6119 are 29, 211. Prime factorization of 6119 in exponential form is:

6119 = 291 × 2111

Now multiplying the highest exponent prime factors to calculate the LCM of 6105 and 6119.

LCM(6105,6119) = 31 × 51 × 111 × 371 × 291 × 2111
LCM(6105,6119) = 37356495