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What is the Least Common Multiple of 60273 and 60293?

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 60293 is 3634039989.

LCM(60273,60293) = 3634039989

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Least Common Multiple of 60273 and 60293 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 60293, than apply into the LCM equation.

GCF(60273,60293) = 1
LCM(60273,60293) = ( 60273 × 60293) / 1
LCM(60273,60293) = 3634039989 / 1
LCM(60273,60293) = 3634039989

Least Common Multiple (LCM) of 60273 and 60293 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60273 and 60293. First we will calculate the prime factors of 60273 and 60293.

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 60293

Prime factors of 60293 are 60293. Prime factorization of 60293 in exponential form is:

60293 = 602931

Now multiplying the highest exponent prime factors to calculate the LCM of 60273 and 60293.

LCM(60273,60293) = 32 × 371 × 1811 × 602931
LCM(60273,60293) = 3634039989