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What is the Least Common Multiple of 69273 and 69290?

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 69273 and 69290 is 4799926170.

LCM(69273,69290) = 4799926170

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Least Common Multiple of 69273 and 69290 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69273 and 69290, than apply into the LCM equation.

GCF(69273,69290) = 1
LCM(69273,69290) = ( 69273 × 69290) / 1
LCM(69273,69290) = 4799926170 / 1
LCM(69273,69290) = 4799926170

Least Common Multiple (LCM) of 69273 and 69290 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69273 and 69290. First we will calculate the prime factors of 69273 and 69290.

Prime Factorization of 69273

Prime factors of 69273 are 3, 43, 179. Prime factorization of 69273 in exponential form is:

69273 = 32 × 431 × 1791

Prime Factorization of 69290

Prime factors of 69290 are 2, 5, 13, 41. Prime factorization of 69290 in exponential form is:

69290 = 21 × 51 × 132 × 411

Now multiplying the highest exponent prime factors to calculate the LCM of 69273 and 69290.

LCM(69273,69290) = 32 × 431 × 1791 × 21 × 51 × 132 × 411
LCM(69273,69290) = 4799926170