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What is the Least Common Multiple of 6153 and 6170?

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 6153 and 6170 is 37964010.

LCM(6153,6170) = 37964010

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Least Common Multiple of 6153 and 6170 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6153 and 6170, than apply into the LCM equation.

GCF(6153,6170) = 1
LCM(6153,6170) = ( 6153 × 6170) / 1
LCM(6153,6170) = 37964010 / 1
LCM(6153,6170) = 37964010

Least Common Multiple (LCM) of 6153 and 6170 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6153 and 6170. First we will calculate the prime factors of 6153 and 6170.

Prime Factorization of 6153

Prime factors of 6153 are 3, 7, 293. Prime factorization of 6153 in exponential form is:

6153 = 31 × 71 × 2931

Prime Factorization of 6170

Prime factors of 6170 are 2, 5, 617. Prime factorization of 6170 in exponential form is:

6170 = 21 × 51 × 6171

Now multiplying the highest exponent prime factors to calculate the LCM of 6153 and 6170.

LCM(6153,6170) = 31 × 71 × 2931 × 21 × 51 × 6171
LCM(6153,6170) = 37964010