What is the Least Common Multiple of 53681 and 53687?
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 53681 and 53687 is 2881971847.
LCM(53681,53687) = 2881971847
Least Common Multiple of 53681 and 53687 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53681 and 53687, than apply into the LCM equation.
GCF(53681,53687) = 1
LCM(53681,53687) = ( 53681 × 53687) / 1
LCM(53681,53687) = 2881971847 / 1
LCM(53681,53687) = 2881971847
Least Common Multiple (LCM) of 53681 and 53687 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 53681 and 53687. First we will calculate the prime factors of 53681 and 53687.
Prime Factorization of 53681
Prime factors of 53681 are 53681. Prime factorization of 53681 in exponential form is:
53681 = 536811
Prime Factorization of 53687
Prime factors of 53687 are 37, 1451. Prime factorization of 53687 in exponential form is:
53687 = 371 × 14511
Now multiplying the highest exponent prime factors to calculate the LCM of 53681 and 53687.
LCM(53681,53687) = 536811 × 371 × 14511
LCM(53681,53687) = 2881971847
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