What is the Least Common Multiple of 52724 and 52741?
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 52724 and 52741 is 2780716484.
LCM(52724,52741) = 2780716484
Least Common Multiple of 52724 and 52741 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52724 and 52741, than apply into the LCM equation.
GCF(52724,52741) = 1
LCM(52724,52741) = ( 52724 × 52741) / 1
LCM(52724,52741) = 2780716484 / 1
LCM(52724,52741) = 2780716484
Least Common Multiple (LCM) of 52724 and 52741 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 52724 and 52741. First we will calculate the prime factors of 52724 and 52741.
Prime Factorization of 52724
Prime factors of 52724 are 2, 7, 269. Prime factorization of 52724 in exponential form is:
52724 = 22 × 72 × 2691
Prime Factorization of 52741
Prime factors of 52741 are 13, 4057. Prime factorization of 52741 in exponential form is:
52741 = 131 × 40571
Now multiplying the highest exponent prime factors to calculate the LCM of 52724 and 52741.
LCM(52724,52741) = 22 × 72 × 2691 × 131 × 40571
LCM(52724,52741) = 2780716484
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