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What is the Least Common Multiple of 52789 and 52795?

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 52789 and 52795 is 2786995255.

LCM(52789,52795) = 2786995255

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Least Common Multiple of 52789 and 52795 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52789 and 52795, than apply into the LCM equation.

GCF(52789,52795) = 1
LCM(52789,52795) = ( 52789 × 52795) / 1
LCM(52789,52795) = 2786995255 / 1
LCM(52789,52795) = 2786995255

Least Common Multiple (LCM) of 52789 and 52795 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52789 and 52795. First we will calculate the prime factors of 52789 and 52795.

Prime Factorization of 52789

Prime factors of 52789 are 11, 4799. Prime factorization of 52789 in exponential form is:

52789 = 111 × 47991

Prime Factorization of 52795

Prime factors of 52795 are 5, 10559. Prime factorization of 52795 in exponential form is:

52795 = 51 × 105591

Now multiplying the highest exponent prime factors to calculate the LCM of 52789 and 52795.

LCM(52789,52795) = 111 × 47991 × 51 × 105591
LCM(52789,52795) = 2786995255