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What is the Least Common Multiple of 3154 and 3170?

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 3154 and 3170 is 4999090.

LCM(3154,3170) = 4999090

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Least Common Multiple of 3154 and 3170 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3154 and 3170, than apply into the LCM equation.

GCF(3154,3170) = 2
LCM(3154,3170) = ( 3154 × 3170) / 2
LCM(3154,3170) = 9998180 / 2
LCM(3154,3170) = 4999090

Least Common Multiple (LCM) of 3154 and 3170 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3154 and 3170. First we will calculate the prime factors of 3154 and 3170.

Prime Factorization of 3154

Prime factors of 3154 are 2, 19, 83. Prime factorization of 3154 in exponential form is:

3154 = 21 × 191 × 831

Prime Factorization of 3170

Prime factors of 3170 are 2, 5, 317. Prime factorization of 3170 in exponential form is:

3170 = 21 × 51 × 3171

Now multiplying the highest exponent prime factors to calculate the LCM of 3154 and 3170.

LCM(3154,3170) = 21 × 191 × 831 × 51 × 3171
LCM(3154,3170) = 4999090