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What is the Least Common Multiple of 48157 and 48171?

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 48157 and 48171 is 2319770847.

LCM(48157,48171) = 2319770847

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Least Common Multiple of 48157 and 48171 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48157 and 48171, than apply into the LCM equation.

GCF(48157,48171) = 1
LCM(48157,48171) = ( 48157 × 48171) / 1
LCM(48157,48171) = 2319770847 / 1
LCM(48157,48171) = 2319770847

Least Common Multiple (LCM) of 48157 and 48171 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48157 and 48171. First we will calculate the prime factors of 48157 and 48171.

Prime Factorization of 48157

Prime factors of 48157 are 48157. Prime factorization of 48157 in exponential form is:

48157 = 481571

Prime Factorization of 48171

Prime factors of 48171 are 3, 16057. Prime factorization of 48171 in exponential form is:

48171 = 31 × 160571

Now multiplying the highest exponent prime factors to calculate the LCM of 48157 and 48171.

LCM(48157,48171) = 481571 × 31 × 160571
LCM(48157,48171) = 2319770847