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What is the Least Common Multiple of 48877 and 48885?

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 48877 and 48885 is 2389352145.

LCM(48877,48885) = 2389352145

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Least Common Multiple of 48877 and 48885 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48877 and 48885, than apply into the LCM equation.

GCF(48877,48885) = 1
LCM(48877,48885) = ( 48877 × 48885) / 1
LCM(48877,48885) = 2389352145 / 1
LCM(48877,48885) = 2389352145

Least Common Multiple (LCM) of 48877 and 48885 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48877 and 48885. First we will calculate the prime factors of 48877 and 48885.

Prime Factorization of 48877

Prime factors of 48877 are 37, 1321. Prime factorization of 48877 in exponential form is:

48877 = 371 × 13211

Prime Factorization of 48885

Prime factors of 48885 are 3, 5, 3259. Prime factorization of 48885 in exponential form is:

48885 = 31 × 51 × 32591

Now multiplying the highest exponent prime factors to calculate the LCM of 48877 and 48885.

LCM(48877,48885) = 371 × 13211 × 31 × 51 × 32591
LCM(48877,48885) = 2389352145