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What is the Least Common Multiple of 60167 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 60167 and 60182 is 3620970394.

LCM(60167,60182) = 3620970394

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Least Common Multiple of 60167 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 60167 and 60182, than apply into the LCM equation.

GCF(60167,60182) = 1
LCM(60167,60182) = ( 60167 × 60182) / 1
LCM(60167,60182) = 3620970394 / 1
LCM(60167,60182) = 3620970394

Least Common Multiple (LCM) of 60167 and 60182 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60167 and 60182. First we will calculate the prime factors of 60167 and 60182.

Prime Factorization of 60167

Prime factors of 60167 are 60167. Prime factorization of 60167 in exponential form is:

60167 = 601671

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 60167 and 60182.

LCM(60167,60182) = 601671 × 21 × 300911
LCM(60167,60182) = 3620970394