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What is the Least Common Multiple of 80362 and 80372?

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 80362 and 80372 is 3229427332.

LCM(80362,80372) = 3229427332

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Least Common Multiple of 80362 and 80372 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80362 and 80372, than apply into the LCM equation.

GCF(80362,80372) = 2
LCM(80362,80372) = ( 80362 × 80372) / 2
LCM(80362,80372) = 6458854664 / 2
LCM(80362,80372) = 3229427332

Least Common Multiple (LCM) of 80362 and 80372 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80362 and 80372. First we will calculate the prime factors of 80362 and 80372.

Prime Factorization of 80362

Prime factors of 80362 are 2, 23, 1747. Prime factorization of 80362 in exponential form is:

80362 = 21 × 231 × 17471

Prime Factorization of 80372

Prime factors of 80372 are 2, 71, 283. Prime factorization of 80372 in exponential form is:

80372 = 22 × 711 × 2831

Now multiplying the highest exponent prime factors to calculate the LCM of 80362 and 80372.

LCM(80362,80372) = 22 × 231 × 17471 × 711 × 2831
LCM(80362,80372) = 3229427332