What is the Least Common Multiple of 50527 and 50534?
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 50527 and 50534 is 2553331418.
LCM(50527,50534) = 2553331418
Least Common Multiple of 50527 and 50534 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50527 and 50534, than apply into the LCM equation.
GCF(50527,50534) = 1
LCM(50527,50534) = ( 50527 × 50534) / 1
LCM(50527,50534) = 2553331418 / 1
LCM(50527,50534) = 2553331418
Least Common Multiple (LCM) of 50527 and 50534 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 50527 and 50534. First we will calculate the prime factors of 50527 and 50534.
Prime Factorization of 50527
Prime factors of 50527 are 50527. Prime factorization of 50527 in exponential form is:
50527 = 505271
Prime Factorization of 50534
Prime factors of 50534 are 2, 11, 2297. Prime factorization of 50534 in exponential form is:
50534 = 21 × 111 × 22971
Now multiplying the highest exponent prime factors to calculate the LCM of 50527 and 50534.
LCM(50527,50534) = 505271 × 21 × 111 × 22971
LCM(50527,50534) = 2553331418
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