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What is the Least Common Multiple of 60265 and 60276?

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 60265 and 60276 is 3632533140.

LCM(60265,60276) = 3632533140

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Least Common Multiple of 60265 and 60276 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60265 and 60276, than apply into the LCM equation.

GCF(60265,60276) = 1
LCM(60265,60276) = ( 60265 × 60276) / 1
LCM(60265,60276) = 3632533140 / 1
LCM(60265,60276) = 3632533140

Least Common Multiple (LCM) of 60265 and 60276 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60265 and 60276. First we will calculate the prime factors of 60265 and 60276.

Prime Factorization of 60265

Prime factors of 60265 are 5, 17, 709. Prime factorization of 60265 in exponential form is:

60265 = 51 × 171 × 7091

Prime Factorization of 60276

Prime factors of 60276 are 2, 3, 5023. Prime factorization of 60276 in exponential form is:

60276 = 22 × 31 × 50231

Now multiplying the highest exponent prime factors to calculate the LCM of 60265 and 60276.

LCM(60265,60276) = 51 × 171 × 7091 × 22 × 31 × 50231
LCM(60265,60276) = 3632533140