What is the Least Common Multiple of 65194 and 65214?
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 65194 and 65214 is 2125780758.
LCM(65194,65214) = 2125780758
Least Common Multiple of 65194 and 65214 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65194 and 65214, than apply into the LCM equation.
GCF(65194,65214) = 2
LCM(65194,65214) = ( 65194 × 65214) / 2
LCM(65194,65214) = 4251561516 / 2
LCM(65194,65214) = 2125780758
Least Common Multiple (LCM) of 65194 and 65214 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 65194 and 65214. First we will calculate the prime factors of 65194 and 65214.
Prime Factorization of 65194
Prime factors of 65194 are 2, 37, 881. Prime factorization of 65194 in exponential form is:
65194 = 21 × 371 × 8811
Prime Factorization of 65214
Prime factors of 65214 are 2, 3, 3623. Prime factorization of 65214 in exponential form is:
65214 = 21 × 32 × 36231
Now multiplying the highest exponent prime factors to calculate the LCM of 65194 and 65214.
LCM(65194,65214) = 21 × 371 × 8811 × 32 × 36231
LCM(65194,65214) = 2125780758
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