What is the Least Common Multiple of 66878 and 66898?
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 66878 and 66898 is 2237002222.
LCM(66878,66898) = 2237002222
Least Common Multiple of 66878 and 66898 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66878 and 66898, than apply into the LCM equation.
GCF(66878,66898) = 2
LCM(66878,66898) = ( 66878 × 66898) / 2
LCM(66878,66898) = 4474004444 / 2
LCM(66878,66898) = 2237002222
Least Common Multiple (LCM) of 66878 and 66898 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 66878 and 66898. First we will calculate the prime factors of 66878 and 66898.
Prime Factorization of 66878
Prime factors of 66878 are 2, 7, 17, 281. Prime factorization of 66878 in exponential form is:
66878 = 21 × 71 × 171 × 2811
Prime Factorization of 66898
Prime factors of 66898 are 2, 13, 31, 83. Prime factorization of 66898 in exponential form is:
66898 = 21 × 131 × 311 × 831
Now multiplying the highest exponent prime factors to calculate the LCM of 66878 and 66898.
LCM(66878,66898) = 21 × 71 × 171 × 2811 × 131 × 311 × 831
LCM(66878,66898) = 2237002222
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