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What is the Least Common Multiple of 60169 and 60182?

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 60182 is 3621090758.

LCM(60169,60182) = 3621090758

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Least Common Multiple of 60169 and 60182 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 60182, than apply into the LCM equation.

GCF(60169,60182) = 1
LCM(60169,60182) = ( 60169 × 60182) / 1
LCM(60169,60182) = 3621090758 / 1
LCM(60169,60182) = 3621090758

Least Common Multiple (LCM) of 60169 and 60182 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60169 and 60182. First we will calculate the prime factors of 60169 and 60182.

Prime Factorization of 60169

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

60169 = 601691

Prime Factorization of 60182

Prime factors of 60182 are 2, 30091. Prime factorization of 60182 in exponential form is:

60182 = 21 × 300911

Now multiplying the highest exponent prime factors to calculate the LCM of 60169 and 60182.

LCM(60169,60182) = 601691 × 21 × 300911
LCM(60169,60182) = 3621090758