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What is the Least Common Multiple of 60286 and 60292?

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 60286 and 60292 is 1817381756.

LCM(60286,60292) = 1817381756

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Least Common Multiple of 60286 and 60292 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60286 and 60292, than apply into the LCM equation.

GCF(60286,60292) = 2
LCM(60286,60292) = ( 60286 × 60292) / 2
LCM(60286,60292) = 3634763512 / 2
LCM(60286,60292) = 1817381756

Least Common Multiple (LCM) of 60286 and 60292 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60286 and 60292. First we will calculate the prime factors of 60286 and 60292.

Prime Factorization of 60286

Prime factors of 60286 are 2, 43, 701. Prime factorization of 60286 in exponential form is:

60286 = 21 × 431 × 7011

Prime Factorization of 60292

Prime factors of 60292 are 2, 15073. Prime factorization of 60292 in exponential form is:

60292 = 22 × 150731

Now multiplying the highest exponent prime factors to calculate the LCM of 60286 and 60292.

LCM(60286,60292) = 22 × 431 × 7011 × 150731
LCM(60286,60292) = 1817381756