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What is the Least Common Multiple of 69190 and 69207?

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 69190 and 69207 is 281672490.

LCM(69190,69207) = 281672490

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Least Common Multiple of 69190 and 69207 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69190 and 69207, than apply into the LCM equation.

GCF(69190,69207) = 17
LCM(69190,69207) = ( 69190 × 69207) / 17
LCM(69190,69207) = 4788432330 / 17
LCM(69190,69207) = 281672490

Least Common Multiple (LCM) of 69190 and 69207 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69190 and 69207. First we will calculate the prime factors of 69190 and 69207.

Prime Factorization of 69190

Prime factors of 69190 are 2, 5, 11, 17, 37. Prime factorization of 69190 in exponential form is:

69190 = 21 × 51 × 111 × 171 × 371

Prime Factorization of 69207

Prime factors of 69207 are 3, 17, 23, 59. Prime factorization of 69207 in exponential form is:

69207 = 31 × 171 × 231 × 591

Now multiplying the highest exponent prime factors to calculate the LCM of 69190 and 69207.

LCM(69190,69207) = 21 × 51 × 111 × 171 × 371 × 31 × 231 × 591
LCM(69190,69207) = 281672490

Related Least Common Multiples of 69190

Related Least Common Multiples of 69207