What is the Least Common Multiple of 50156 and 50163?
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 50156 and 50163 is 2515975428.
LCM(50156,50163) = 2515975428
Least Common Multiple of 50156 and 50163 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50156 and 50163, than apply into the LCM equation.
GCF(50156,50163) = 1
LCM(50156,50163) = ( 50156 × 50163) / 1
LCM(50156,50163) = 2515975428 / 1
LCM(50156,50163) = 2515975428
Least Common Multiple (LCM) of 50156 and 50163 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 50156 and 50163. First we will calculate the prime factors of 50156 and 50163.
Prime Factorization of 50156
Prime factors of 50156 are 2, 12539. Prime factorization of 50156 in exponential form is:
50156 = 22 × 125391
Prime Factorization of 50163
Prime factors of 50163 are 3, 23, 727. Prime factorization of 50163 in exponential form is:
50163 = 31 × 231 × 7271
Now multiplying the highest exponent prime factors to calculate the LCM of 50156 and 50163.
LCM(50156,50163) = 22 × 125391 × 31 × 231 × 7271
LCM(50156,50163) = 2515975428
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