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What is the Least Common Multiple of 60259 and 60266?

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 60259 and 60266 is 3631568894.

LCM(60259,60266) = 3631568894

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Least Common Multiple of 60259 and 60266 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60259 and 60266, than apply into the LCM equation.

GCF(60259,60266) = 1
LCM(60259,60266) = ( 60259 × 60266) / 1
LCM(60259,60266) = 3631568894 / 1
LCM(60259,60266) = 3631568894

Least Common Multiple (LCM) of 60259 and 60266 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60259 and 60266. First we will calculate the prime factors of 60259 and 60266.

Prime Factorization of 60259

Prime factors of 60259 are 60259. Prime factorization of 60259 in exponential form is:

60259 = 602591

Prime Factorization of 60266

Prime factors of 60266 are 2, 30133. Prime factorization of 60266 in exponential form is:

60266 = 21 × 301331

Now multiplying the highest exponent prime factors to calculate the LCM of 60259 and 60266.

LCM(60259,60266) = 602591 × 21 × 301331
LCM(60259,60266) = 3631568894