What is the Least Common Multiple of 44162 and 44179?
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 44162 and 44179 is 1951032998.
LCM(44162,44179) = 1951032998
Least Common Multiple of 44162 and 44179 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44162 and 44179, than apply into the LCM equation.
GCF(44162,44179) = 1
LCM(44162,44179) = ( 44162 × 44179) / 1
LCM(44162,44179) = 1951032998 / 1
LCM(44162,44179) = 1951032998
Least Common Multiple (LCM) of 44162 and 44179 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 44162 and 44179. First we will calculate the prime factors of 44162 and 44179.
Prime Factorization of 44162
Prime factors of 44162 are 2, 71, 311. Prime factorization of 44162 in exponential form is:
44162 = 21 × 711 × 3111
Prime Factorization of 44179
Prime factors of 44179 are 44179. Prime factorization of 44179 in exponential form is:
44179 = 441791
Now multiplying the highest exponent prime factors to calculate the LCM of 44162 and 44179.
LCM(44162,44179) = 21 × 711 × 3111 × 441791
LCM(44162,44179) = 1951032998
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