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What is the Least Common Multiple of 52869 and 52880?

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 52869 and 52880 is 2795712720.

LCM(52869,52880) = 2795712720

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Least Common Multiple of 52869 and 52880 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52869 and 52880, than apply into the LCM equation.

GCF(52869,52880) = 1
LCM(52869,52880) = ( 52869 × 52880) / 1
LCM(52869,52880) = 2795712720 / 1
LCM(52869,52880) = 2795712720

Least Common Multiple (LCM) of 52869 and 52880 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52869 and 52880. First we will calculate the prime factors of 52869 and 52880.

Prime Factorization of 52869

Prime factors of 52869 are 3, 17623. Prime factorization of 52869 in exponential form is:

52869 = 31 × 176231

Prime Factorization of 52880

Prime factors of 52880 are 2, 5, 661. Prime factorization of 52880 in exponential form is:

52880 = 24 × 51 × 6611

Now multiplying the highest exponent prime factors to calculate the LCM of 52869 and 52880.

LCM(52869,52880) = 31 × 176231 × 24 × 51 × 6611
LCM(52869,52880) = 2795712720