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What is the Least Common Multiple of 62162 and 62173?

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 62162 and 62173 is 3864798026.

LCM(62162,62173) = 3864798026

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Least Common Multiple of 62162 and 62173 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62162 and 62173, than apply into the LCM equation.

GCF(62162,62173) = 1
LCM(62162,62173) = ( 62162 × 62173) / 1
LCM(62162,62173) = 3864798026 / 1
LCM(62162,62173) = 3864798026

Least Common Multiple (LCM) of 62162 and 62173 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62162 and 62173. First we will calculate the prime factors of 62162 and 62173.

Prime Factorization of 62162

Prime factors of 62162 are 2, 31081. Prime factorization of 62162 in exponential form is:

62162 = 21 × 310811

Prime Factorization of 62173

Prime factors of 62173 are 79, 787. Prime factorization of 62173 in exponential form is:

62173 = 791 × 7871

Now multiplying the highest exponent prime factors to calculate the LCM of 62162 and 62173.

LCM(62162,62173) = 21 × 310811 × 791 × 7871
LCM(62162,62173) = 3864798026