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What is the Least Common Multiple of 69232 and 69252?

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 69232 and 69252 is 1198613616.

LCM(69232,69252) = 1198613616

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Least Common Multiple of 69232 and 69252 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69232 and 69252, than apply into the LCM equation.

GCF(69232,69252) = 4
LCM(69232,69252) = ( 69232 × 69252) / 4
LCM(69232,69252) = 4794454464 / 4
LCM(69232,69252) = 1198613616

Least Common Multiple (LCM) of 69232 and 69252 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69232 and 69252. First we will calculate the prime factors of 69232 and 69252.

Prime Factorization of 69232

Prime factors of 69232 are 2, 4327. Prime factorization of 69232 in exponential form is:

69232 = 24 × 43271

Prime Factorization of 69252

Prime factors of 69252 are 2, 3, 29, 199. Prime factorization of 69252 in exponential form is:

69252 = 22 × 31 × 291 × 1991

Now multiplying the highest exponent prime factors to calculate the LCM of 69232 and 69252.

LCM(69232,69252) = 24 × 43271 × 31 × 291 × 1991
LCM(69232,69252) = 1198613616