What is the Least Common Multiple of 47162 and 47166?
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 47162 and 47166 is 1112221446.
LCM(47162,47166) = 1112221446
Least Common Multiple of 47162 and 47166 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47162 and 47166, than apply into the LCM equation.
GCF(47162,47166) = 2
LCM(47162,47166) = ( 47162 × 47166) / 2
LCM(47162,47166) = 2224442892 / 2
LCM(47162,47166) = 1112221446
Least Common Multiple (LCM) of 47162 and 47166 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 47162 and 47166. First we will calculate the prime factors of 47162 and 47166.
Prime Factorization of 47162
Prime factors of 47162 are 2, 23581. Prime factorization of 47162 in exponential form is:
47162 = 21 × 235811
Prime Factorization of 47166
Prime factors of 47166 are 2, 3, 7, 1123. Prime factorization of 47166 in exponential form is:
47166 = 21 × 31 × 71 × 11231
Now multiplying the highest exponent prime factors to calculate the LCM of 47162 and 47166.
LCM(47162,47166) = 21 × 235811 × 31 × 71 × 11231
LCM(47162,47166) = 1112221446
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