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What is the Least Common Multiple of 69276 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 69276 and 69290 is 2400067020.

LCM(69276,69290) = 2400067020

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Least Common Multiple of 69276 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 69276 and 69290, than apply into the LCM equation.

GCF(69276,69290) = 2
LCM(69276,69290) = ( 69276 × 69290) / 2
LCM(69276,69290) = 4800134040 / 2
LCM(69276,69290) = 2400067020

Least Common Multiple (LCM) of 69276 and 69290 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69276 and 69290. First we will calculate the prime factors of 69276 and 69290.

Prime Factorization of 69276

Prime factors of 69276 are 2, 3, 23, 251. Prime factorization of 69276 in exponential form is:

69276 = 22 × 31 × 231 × 2511

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 69276 and 69290.

LCM(69276,69290) = 22 × 31 × 231 × 2511 × 51 × 132 × 411
LCM(69276,69290) = 2400067020