What is the Least Common Multiple of 44143 and 44155?
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 44143 and 44155 is 1949134165.
LCM(44143,44155) = 1949134165
Least Common Multiple of 44143 and 44155 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44143 and 44155, than apply into the LCM equation.
GCF(44143,44155) = 1
LCM(44143,44155) = ( 44143 × 44155) / 1
LCM(44143,44155) = 1949134165 / 1
LCM(44143,44155) = 1949134165
Least Common Multiple (LCM) of 44143 and 44155 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 44143 and 44155. First we will calculate the prime factors of 44143 and 44155.
Prime Factorization of 44143
Prime factors of 44143 are 11, 4013. Prime factorization of 44143 in exponential form is:
44143 = 111 × 40131
Prime Factorization of 44155
Prime factors of 44155 are 5, 8831. Prime factorization of 44155 in exponential form is:
44155 = 51 × 88311
Now multiplying the highest exponent prime factors to calculate the LCM of 44143 and 44155.
LCM(44143,44155) = 111 × 40131 × 51 × 88311
LCM(44143,44155) = 1949134165
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