What is the Least Common Multiple of 50105 and 50109?
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 50105 and 50109 is 2510711445.
LCM(50105,50109) = 2510711445
Least Common Multiple of 50105 and 50109 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50105 and 50109, than apply into the LCM equation.
GCF(50105,50109) = 1
LCM(50105,50109) = ( 50105 × 50109) / 1
LCM(50105,50109) = 2510711445 / 1
LCM(50105,50109) = 2510711445
Least Common Multiple (LCM) of 50105 and 50109 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 50105 and 50109. First we will calculate the prime factors of 50105 and 50109.
Prime Factorization of 50105
Prime factors of 50105 are 5, 11, 911. Prime factorization of 50105 in exponential form is:
50105 = 51 × 111 × 9111
Prime Factorization of 50109
Prime factors of 50109 are 3, 16703. Prime factorization of 50109 in exponential form is:
50109 = 31 × 167031
Now multiplying the highest exponent prime factors to calculate the LCM of 50105 and 50109.
LCM(50105,50109) = 51 × 111 × 9111 × 31 × 167031
LCM(50105,50109) = 2510711445
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