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What is the Least Common Multiple of 60169 and 60187?

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 60169 and 60187 is 3621391603.

LCM(60169,60187) = 3621391603

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Least Common Multiple of 60169 and 60187 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60169 and 60187, than apply into the LCM equation.

GCF(60169,60187) = 1
LCM(60169,60187) = ( 60169 × 60187) / 1
LCM(60169,60187) = 3621391603 / 1
LCM(60169,60187) = 3621391603

Least Common Multiple (LCM) of 60169 and 60187 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60169 and 60187. First we will calculate the prime factors of 60169 and 60187.

Prime Factorization of 60169

Prime factors of 60169 are 60169. Prime factorization of 60169 in exponential form is:

60169 = 601691

Prime Factorization of 60187

Prime factors of 60187 are 139, 433. Prime factorization of 60187 in exponential form is:

60187 = 1391 × 4331

Now multiplying the highest exponent prime factors to calculate the LCM of 60169 and 60187.

LCM(60169,60187) = 601691 × 1391 × 4331
LCM(60169,60187) = 3621391603