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What is the Least Common Multiple of 68162 and 68173?

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 68162 and 68173 is 4646808026.

LCM(68162,68173) = 4646808026

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Least Common Multiple of 68162 and 68173 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68162 and 68173, than apply into the LCM equation.

GCF(68162,68173) = 1
LCM(68162,68173) = ( 68162 × 68173) / 1
LCM(68162,68173) = 4646808026 / 1
LCM(68162,68173) = 4646808026

Least Common Multiple (LCM) of 68162 and 68173 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68162 and 68173. First we will calculate the prime factors of 68162 and 68173.

Prime Factorization of 68162

Prime factors of 68162 are 2, 173, 197. Prime factorization of 68162 in exponential form is:

68162 = 21 × 1731 × 1971

Prime Factorization of 68173

Prime factors of 68173 are 7, 9739. Prime factorization of 68173 in exponential form is:

68173 = 71 × 97391

Now multiplying the highest exponent prime factors to calculate the LCM of 68162 and 68173.

LCM(68162,68173) = 21 × 1731 × 1971 × 71 × 97391
LCM(68162,68173) = 4646808026