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What is the Least Common Multiple of 60182 and 60193?

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 60182 and 60193 is 3622535126.

LCM(60182,60193) = 3622535126

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Least Common Multiple of 60182 and 60193 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60182 and 60193, than apply into the LCM equation.

GCF(60182,60193) = 1
LCM(60182,60193) = ( 60182 × 60193) / 1
LCM(60182,60193) = 3622535126 / 1
LCM(60182,60193) = 3622535126

Least Common Multiple (LCM) of 60182 and 60193 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60182 and 60193. First we will calculate the prime factors of 60182 and 60193.

Prime Factorization of 60182

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

60182 = 21 × 300911

Prime Factorization of 60193

Prime factors of 60193 are 7, 8599. Prime factorization of 60193 in exponential form is:

60193 = 71 × 85991

Now multiplying the highest exponent prime factors to calculate the LCM of 60182 and 60193.

LCM(60182,60193) = 21 × 300911 × 71 × 85991
LCM(60182,60193) = 3622535126