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What is the Least Common Multiple of 60273 and 60281?

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 60273 and 60281 is 3633316713.

LCM(60273,60281) = 3633316713

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Least Common Multiple of 60273 and 60281 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60273 and 60281, than apply into the LCM equation.

GCF(60273,60281) = 1
LCM(60273,60281) = ( 60273 × 60281) / 1
LCM(60273,60281) = 3633316713 / 1
LCM(60273,60281) = 3633316713

Least Common Multiple (LCM) of 60273 and 60281 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60273 and 60281. First we will calculate the prime factors of 60273 and 60281.

Prime Factorization of 60273

Prime factors of 60273 are 3, 37, 181. Prime factorization of 60273 in exponential form is:

60273 = 32 × 371 × 1811

Prime Factorization of 60281

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

60281 = 131 × 46371

Now multiplying the highest exponent prime factors to calculate the LCM of 60273 and 60281.

LCM(60273,60281) = 32 × 371 × 1811 × 131 × 46371
LCM(60273,60281) = 3633316713