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What is the Least Common Multiple of 48820 and 48837?

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 48820 and 48837 is 2384222340.

LCM(48820,48837) = 2384222340

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Least Common Multiple of 48820 and 48837 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48820 and 48837, than apply into the LCM equation.

GCF(48820,48837) = 1
LCM(48820,48837) = ( 48820 × 48837) / 1
LCM(48820,48837) = 2384222340 / 1
LCM(48820,48837) = 2384222340

Least Common Multiple (LCM) of 48820 and 48837 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48820 and 48837. First we will calculate the prime factors of 48820 and 48837.

Prime Factorization of 48820

Prime factors of 48820 are 2, 5, 2441. Prime factorization of 48820 in exponential form is:

48820 = 22 × 51 × 24411

Prime Factorization of 48837

Prime factors of 48837 are 3, 73, 223. Prime factorization of 48837 in exponential form is:

48837 = 31 × 731 × 2231

Now multiplying the highest exponent prime factors to calculate the LCM of 48820 and 48837.

LCM(48820,48837) = 22 × 51 × 24411 × 31 × 731 × 2231
LCM(48820,48837) = 2384222340