What is the Least Common Multiple of 53722 and 53727?
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 53722 and 53727 is 2886321894.
LCM(53722,53727) = 2886321894
Least Common Multiple of 53722 and 53727 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53722 and 53727, than apply into the LCM equation.
GCF(53722,53727) = 1
LCM(53722,53727) = ( 53722 × 53727) / 1
LCM(53722,53727) = 2886321894 / 1
LCM(53722,53727) = 2886321894
Least Common Multiple (LCM) of 53722 and 53727 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 53722 and 53727. First we will calculate the prime factors of 53722 and 53727.
Prime Factorization of 53722
Prime factors of 53722 are 2, 26861. Prime factorization of 53722 in exponential form is:
53722 = 21 × 268611
Prime Factorization of 53727
Prime factors of 53727 are 3, 17909. Prime factorization of 53727 in exponential form is:
53727 = 31 × 179091
Now multiplying the highest exponent prime factors to calculate the LCM of 53722 and 53727.
LCM(53722,53727) = 21 × 268611 × 31 × 179091
LCM(53722,53727) = 2886321894
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