What is the Least Common Multiple of 44156 and 44167?
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 44156 and 44167 is 1950238052.
LCM(44156,44167) = 1950238052
Least Common Multiple of 44156 and 44167 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44156 and 44167, than apply into the LCM equation.
GCF(44156,44167) = 1
LCM(44156,44167) = ( 44156 × 44167) / 1
LCM(44156,44167) = 1950238052 / 1
LCM(44156,44167) = 1950238052
Least Common Multiple (LCM) of 44156 and 44167 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 44156 and 44167. First we will calculate the prime factors of 44156 and 44167.
Prime Factorization of 44156
Prime factors of 44156 are 2, 7, 19, 83. Prime factorization of 44156 in exponential form is:
44156 = 22 × 71 × 191 × 831
Prime Factorization of 44167
Prime factors of 44167 are 29, 1523. Prime factorization of 44167 in exponential form is:
44167 = 291 × 15231
Now multiplying the highest exponent prime factors to calculate the LCM of 44156 and 44167.
LCM(44156,44167) = 22 × 71 × 191 × 831 × 291 × 15231
LCM(44156,44167) = 1950238052
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