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What is the Least Common Multiple of 60215 and 60227?

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 60227 is 3626568805.

LCM(60215,60227) = 3626568805

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Least Common Multiple of 60215 and 60227 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 60227, than apply into the LCM equation.

GCF(60215,60227) = 1
LCM(60215,60227) = ( 60215 × 60227) / 1
LCM(60215,60227) = 3626568805 / 1
LCM(60215,60227) = 3626568805

Least Common Multiple (LCM) of 60215 and 60227 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60215 and 60227. First we will calculate the prime factors of 60215 and 60227.

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 60227

Prime factors of 60227 are 229, 263. Prime factorization of 60227 in exponential form is:

60227 = 2291 × 2631

Now multiplying the highest exponent prime factors to calculate the LCM of 60215 and 60227.

LCM(60215,60227) = 51 × 120431 × 2291 × 2631
LCM(60215,60227) = 3626568805