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What is the Least Common Multiple of 60231 and 60235?

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 60231 and 60235 is 3628014285.

LCM(60231,60235) = 3628014285

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Least Common Multiple of 60231 and 60235 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60231 and 60235, than apply into the LCM equation.

GCF(60231,60235) = 1
LCM(60231,60235) = ( 60231 × 60235) / 1
LCM(60231,60235) = 3628014285 / 1
LCM(60231,60235) = 3628014285

Least Common Multiple (LCM) of 60231 and 60235 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60231 and 60235. First we will calculate the prime factors of 60231 and 60235.

Prime Factorization of 60231

Prime factors of 60231 are 3, 17, 1181. Prime factorization of 60231 in exponential form is:

60231 = 31 × 171 × 11811

Prime Factorization of 60235

Prime factors of 60235 are 5, 7, 1721. Prime factorization of 60235 in exponential form is:

60235 = 51 × 71 × 17211

Now multiplying the highest exponent prime factors to calculate the LCM of 60231 and 60235.

LCM(60231,60235) = 31 × 171 × 11811 × 51 × 71 × 17211
LCM(60231,60235) = 3628014285