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What is the Least Common Multiple of 60325 and 60331?

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 60325 and 60331 is 3639467575.

LCM(60325,60331) = 3639467575

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Least Common Multiple of 60325 and 60331 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60325 and 60331, than apply into the LCM equation.

GCF(60325,60331) = 1
LCM(60325,60331) = ( 60325 × 60331) / 1
LCM(60325,60331) = 3639467575 / 1
LCM(60325,60331) = 3639467575

Least Common Multiple (LCM) of 60325 and 60331 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60325 and 60331. First we will calculate the prime factors of 60325 and 60331.

Prime Factorization of 60325

Prime factors of 60325 are 5, 19, 127. Prime factorization of 60325 in exponential form is:

60325 = 52 × 191 × 1271

Prime Factorization of 60331

Prime factors of 60331 are 60331. Prime factorization of 60331 in exponential form is:

60331 = 603311

Now multiplying the highest exponent prime factors to calculate the LCM of 60325 and 60331.

LCM(60325,60331) = 52 × 191 × 1271 × 603311
LCM(60325,60331) = 3639467575