What is the Least Common Multiple of 44157 and 44166?
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 44157 and 44166 is 650079354.
LCM(44157,44166) = 650079354
Least Common Multiple of 44157 and 44166 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44157 and 44166, than apply into the LCM equation.
GCF(44157,44166) = 3
LCM(44157,44166) = ( 44157 × 44166) / 3
LCM(44157,44166) = 1950238062 / 3
LCM(44157,44166) = 650079354
Least Common Multiple (LCM) of 44157 and 44166 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 44157 and 44166. First we will calculate the prime factors of 44157 and 44166.
Prime Factorization of 44157
Prime factors of 44157 are 3, 41, 359. Prime factorization of 44157 in exponential form is:
44157 = 31 × 411 × 3591
Prime Factorization of 44166
Prime factors of 44166 are 2, 3, 17, 433. Prime factorization of 44166 in exponential form is:
44166 = 21 × 31 × 171 × 4331
Now multiplying the highest exponent prime factors to calculate the LCM of 44157 and 44166.
LCM(44157,44166) = 31 × 411 × 3591 × 21 × 171 × 4331
LCM(44157,44166) = 650079354
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