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What is the Least Common Multiple of 52877 and 52885?

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 52877 and 52885 is 2796400145.

LCM(52877,52885) = 2796400145

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Least Common Multiple of 52877 and 52885 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52877 and 52885, than apply into the LCM equation.

GCF(52877,52885) = 1
LCM(52877,52885) = ( 52877 × 52885) / 1
LCM(52877,52885) = 2796400145 / 1
LCM(52877,52885) = 2796400145

Least Common Multiple (LCM) of 52877 and 52885 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52877 and 52885. First we will calculate the prime factors of 52877 and 52885.

Prime Factorization of 52877

Prime factors of 52877 are 11, 19, 23. Prime factorization of 52877 in exponential form is:

52877 = 112 × 191 × 231

Prime Factorization of 52885

Prime factors of 52885 are 5, 7, 1511. Prime factorization of 52885 in exponential form is:

52885 = 51 × 71 × 15111

Now multiplying the highest exponent prime factors to calculate the LCM of 52877 and 52885.

LCM(52877,52885) = 112 × 191 × 231 × 51 × 71 × 15111
LCM(52877,52885) = 2796400145