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What is the Least Common Multiple of 62158 and 62171?

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 62158 and 62171 is 3864425018.

LCM(62158,62171) = 3864425018

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Least Common Multiple of 62158 and 62171 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62158 and 62171, than apply into the LCM equation.

GCF(62158,62171) = 1
LCM(62158,62171) = ( 62158 × 62171) / 1
LCM(62158,62171) = 3864425018 / 1
LCM(62158,62171) = 3864425018

Least Common Multiple (LCM) of 62158 and 62171 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62158 and 62171. First we will calculate the prime factors of 62158 and 62171.

Prime Factorization of 62158

Prime factors of 62158 are 2, 31079. Prime factorization of 62158 in exponential form is:

62158 = 21 × 310791

Prime Factorization of 62171

Prime factors of 62171 are 62171. Prime factorization of 62171 in exponential form is:

62171 = 621711

Now multiplying the highest exponent prime factors to calculate the LCM of 62158 and 62171.

LCM(62158,62171) = 21 × 310791 × 621711
LCM(62158,62171) = 3864425018