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What is the Least Common Multiple of 8164 and 8179?

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 8164 and 8179 is 66773356.

LCM(8164,8179) = 66773356

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Least Common Multiple of 8164 and 8179 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8164 and 8179, than apply into the LCM equation.

GCF(8164,8179) = 1
LCM(8164,8179) = ( 8164 × 8179) / 1
LCM(8164,8179) = 66773356 / 1
LCM(8164,8179) = 66773356

Least Common Multiple (LCM) of 8164 and 8179 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8164 and 8179. First we will calculate the prime factors of 8164 and 8179.

Prime Factorization of 8164

Prime factors of 8164 are 2, 13, 157. Prime factorization of 8164 in exponential form is:

8164 = 22 × 131 × 1571

Prime Factorization of 8179

Prime factors of 8179 are 8179. Prime factorization of 8179 in exponential form is:

8179 = 81791

Now multiplying the highest exponent prime factors to calculate the LCM of 8164 and 8179.

LCM(8164,8179) = 22 × 131 × 1571 × 81791
LCM(8164,8179) = 66773356