What is the Least Common Multiple of 5353 and 5364?
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 5353 and 5364 is 28713492.
LCM(5353,5364) = 28713492
Least Common Multiple of 5353 and 5364 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5353 and 5364, than apply into the LCM equation.
GCF(5353,5364) = 1
LCM(5353,5364) = ( 5353 × 5364) / 1
LCM(5353,5364) = 28713492 / 1
LCM(5353,5364) = 28713492
Least Common Multiple (LCM) of 5353 and 5364 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 5353 and 5364. First we will calculate the prime factors of 5353 and 5364.
Prime Factorization of 5353
Prime factors of 5353 are 53, 101. Prime factorization of 5353 in exponential form is:
5353 = 531 × 1011
Prime Factorization of 5364
Prime factors of 5364 are 2, 3, 149. Prime factorization of 5364 in exponential form is:
5364 = 22 × 32 × 1491
Now multiplying the highest exponent prime factors to calculate the LCM of 5353 and 5364.
LCM(5353,5364) = 531 × 1011 × 22 × 32 × 1491
LCM(5353,5364) = 28713492
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