What is the Least Common Multiple of 44163 and 44176?
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 44163 and 44176 is 1950944688.
LCM(44163,44176) = 1950944688
Least Common Multiple of 44163 and 44176 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44163 and 44176, than apply into the LCM equation.
GCF(44163,44176) = 1
LCM(44163,44176) = ( 44163 × 44176) / 1
LCM(44163,44176) = 1950944688 / 1
LCM(44163,44176) = 1950944688
Least Common Multiple (LCM) of 44163 and 44176 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 44163 and 44176. First we will calculate the prime factors of 44163 and 44176.
Prime Factorization of 44163
Prime factors of 44163 are 3, 7, 701. Prime factorization of 44163 in exponential form is:
44163 = 32 × 71 × 7011
Prime Factorization of 44176
Prime factors of 44176 are 2, 11, 251. Prime factorization of 44176 in exponential form is:
44176 = 24 × 111 × 2511
Now multiplying the highest exponent prime factors to calculate the LCM of 44163 and 44176.
LCM(44163,44176) = 32 × 71 × 7011 × 24 × 111 × 2511
LCM(44163,44176) = 1950944688
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