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What is the Least Common Multiple of 60215 and 60229?

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 60215 and 60229 is 3626689235.

LCM(60215,60229) = 3626689235

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Least Common Multiple of 60215 and 60229 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60215 and 60229, than apply into the LCM equation.

GCF(60215,60229) = 1
LCM(60215,60229) = ( 60215 × 60229) / 1
LCM(60215,60229) = 3626689235 / 1
LCM(60215,60229) = 3626689235

Least Common Multiple (LCM) of 60215 and 60229 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60215 and 60229. First we will calculate the prime factors of 60215 and 60229.

Prime Factorization of 60215

Prime factors of 60215 are 5, 12043. Prime factorization of 60215 in exponential form is:

60215 = 51 × 120431

Prime Factorization of 60229

Prime factors of 60229 are 13, 41, 113. Prime factorization of 60229 in exponential form is:

60229 = 131 × 411 × 1131

Now multiplying the highest exponent prime factors to calculate the LCM of 60215 and 60229.

LCM(60215,60229) = 51 × 120431 × 131 × 411 × 1131
LCM(60215,60229) = 3626689235