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What is the Least Common Multiple of 60281 and 60290?

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 60281 and 60290 is 3634341490.

LCM(60281,60290) = 3634341490

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Least Common Multiple of 60281 and 60290 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60281 and 60290, than apply into the LCM equation.

GCF(60281,60290) = 1
LCM(60281,60290) = ( 60281 × 60290) / 1
LCM(60281,60290) = 3634341490 / 1
LCM(60281,60290) = 3634341490

Least Common Multiple (LCM) of 60281 and 60290 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60281 and 60290. First we will calculate the prime factors of 60281 and 60290.

Prime Factorization of 60281

Prime factors of 60281 are 13, 4637. Prime factorization of 60281 in exponential form is:

60281 = 131 × 46371

Prime Factorization of 60290

Prime factors of 60290 are 2, 5, 6029. Prime factorization of 60290 in exponential form is:

60290 = 21 × 51 × 60291

Now multiplying the highest exponent prime factors to calculate the LCM of 60281 and 60290.

LCM(60281,60290) = 131 × 46371 × 21 × 51 × 60291
LCM(60281,60290) = 3634341490