What is the Least Common Multiple of 50742 and 50751?
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 50742 and 50751 is 286134138.
LCM(50742,50751) = 286134138
Least Common Multiple of 50742 and 50751 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50742 and 50751, than apply into the LCM equation.
GCF(50742,50751) = 9
LCM(50742,50751) = ( 50742 × 50751) / 9
LCM(50742,50751) = 2575207242 / 9
LCM(50742,50751) = 286134138
Least Common Multiple (LCM) of 50742 and 50751 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 50742 and 50751. First we will calculate the prime factors of 50742 and 50751.
Prime Factorization of 50742
Prime factors of 50742 are 2, 3, 2819. Prime factorization of 50742 in exponential form is:
50742 = 21 × 32 × 28191
Prime Factorization of 50751
Prime factors of 50751 are 3, 5639. Prime factorization of 50751 in exponential form is:
50751 = 32 × 56391
Now multiplying the highest exponent prime factors to calculate the LCM of 50742 and 50751.
LCM(50742,50751) = 21 × 32 × 28191 × 56391
LCM(50742,50751) = 286134138
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