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What is the Least Common Multiple of 52771 and 52783?

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 52771 and 52783 is 2785411693.

LCM(52771,52783) = 2785411693

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Least Common Multiple of 52771 and 52783 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52771 and 52783, than apply into the LCM equation.

GCF(52771,52783) = 1
LCM(52771,52783) = ( 52771 × 52783) / 1
LCM(52771,52783) = 2785411693 / 1
LCM(52771,52783) = 2785411693

Least Common Multiple (LCM) of 52771 and 52783 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52771 and 52783. First we will calculate the prime factors of 52771 and 52783.

Prime Factorization of 52771

Prime factors of 52771 are 113, 467. Prime factorization of 52771 in exponential form is:

52771 = 1131 × 4671

Prime Factorization of 52783

Prime factors of 52783 are 52783. Prime factorization of 52783 in exponential form is:

52783 = 527831

Now multiplying the highest exponent prime factors to calculate the LCM of 52771 and 52783.

LCM(52771,52783) = 1131 × 4671 × 527831
LCM(52771,52783) = 2785411693