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What is the Least Common Multiple of 48152 and 48161?

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 48152 and 48161 is 2319048472.

LCM(48152,48161) = 2319048472

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Least Common Multiple of 48152 and 48161 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48152 and 48161, than apply into the LCM equation.

GCF(48152,48161) = 1
LCM(48152,48161) = ( 48152 × 48161) / 1
LCM(48152,48161) = 2319048472 / 1
LCM(48152,48161) = 2319048472

Least Common Multiple (LCM) of 48152 and 48161 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48152 and 48161. First we will calculate the prime factors of 48152 and 48161.

Prime Factorization of 48152

Prime factors of 48152 are 2, 13, 463. Prime factorization of 48152 in exponential form is:

48152 = 23 × 131 × 4631

Prime Factorization of 48161

Prime factors of 48161 are 17, 2833. Prime factorization of 48161 in exponential form is:

48161 = 171 × 28331

Now multiplying the highest exponent prime factors to calculate the LCM of 48152 and 48161.

LCM(48152,48161) = 23 × 131 × 4631 × 171 × 28331
LCM(48152,48161) = 2319048472