What is the Least Common Multiple of 50753 and 50768?
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 50753 and 50768 is 2576628304.
LCM(50753,50768) = 2576628304
Least Common Multiple of 50753 and 50768 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50753 and 50768, than apply into the LCM equation.
GCF(50753,50768) = 1
LCM(50753,50768) = ( 50753 × 50768) / 1
LCM(50753,50768) = 2576628304 / 1
LCM(50753,50768) = 2576628304
Least Common Multiple (LCM) of 50753 and 50768 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 50753 and 50768. First we will calculate the prime factors of 50753 and 50768.
Prime Factorization of 50753
Prime factors of 50753 are 50753. Prime factorization of 50753 in exponential form is:
50753 = 507531
Prime Factorization of 50768
Prime factors of 50768 are 2, 19, 167. Prime factorization of 50768 in exponential form is:
50768 = 24 × 191 × 1671
Now multiplying the highest exponent prime factors to calculate the LCM of 50753 and 50768.
LCM(50753,50768) = 507531 × 24 × 191 × 1671
LCM(50753,50768) = 2576628304
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