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What is the Least Common Multiple of 65178 and 65194?

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 65178 and 65194 is 2124607266.

LCM(65178,65194) = 2124607266

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Least Common Multiple of 65178 and 65194 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65178 and 65194, than apply into the LCM equation.

GCF(65178,65194) = 2
LCM(65178,65194) = ( 65178 × 65194) / 2
LCM(65178,65194) = 4249214532 / 2
LCM(65178,65194) = 2124607266

Least Common Multiple (LCM) of 65178 and 65194 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65178 and 65194. First we will calculate the prime factors of 65178 and 65194.

Prime Factorization of 65178

Prime factors of 65178 are 2, 3, 17, 71. Prime factorization of 65178 in exponential form is:

65178 = 21 × 33 × 171 × 711

Prime Factorization of 65194

Prime factors of 65194 are 2, 37, 881. Prime factorization of 65194 in exponential form is:

65194 = 21 × 371 × 8811

Now multiplying the highest exponent prime factors to calculate the LCM of 65178 and 65194.

LCM(65178,65194) = 21 × 33 × 171 × 711 × 371 × 8811
LCM(65178,65194) = 2124607266