What is the Least Common Multiple of 66157 and 66166?
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 66157 and 66166 is 4377344062.
LCM(66157,66166) = 4377344062
Least Common Multiple of 66157 and 66166 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66157 and 66166, than apply into the LCM equation.
GCF(66157,66166) = 1
LCM(66157,66166) = ( 66157 × 66166) / 1
LCM(66157,66166) = 4377344062 / 1
LCM(66157,66166) = 4377344062
Least Common Multiple (LCM) of 66157 and 66166 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 66157 and 66166. First we will calculate the prime factors of 66157 and 66166.
Prime Factorization of 66157
Prime factors of 66157 are 7, 13, 727. Prime factorization of 66157 in exponential form is:
66157 = 71 × 131 × 7271
Prime Factorization of 66166
Prime factors of 66166 are 2, 33083. Prime factorization of 66166 in exponential form is:
66166 = 21 × 330831
Now multiplying the highest exponent prime factors to calculate the LCM of 66157 and 66166.
LCM(66157,66166) = 71 × 131 × 7271 × 21 × 330831
LCM(66157,66166) = 4377344062
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