What is the Least Common Multiple of 53537 and 53555?
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 53537 and 53555 is 2867174035.
LCM(53537,53555) = 2867174035
Least Common Multiple of 53537 and 53555 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53537 and 53555, than apply into the LCM equation.
GCF(53537,53555) = 1
LCM(53537,53555) = ( 53537 × 53555) / 1
LCM(53537,53555) = 2867174035 / 1
LCM(53537,53555) = 2867174035
Least Common Multiple (LCM) of 53537 and 53555 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 53537 and 53555. First we will calculate the prime factors of 53537 and 53555.
Prime Factorization of 53537
Prime factors of 53537 are 11, 31, 157. Prime factorization of 53537 in exponential form is:
53537 = 111 × 311 × 1571
Prime Factorization of 53555
Prime factors of 53555 are 5, 10711. Prime factorization of 53555 in exponential form is:
53555 = 51 × 107111
Now multiplying the highest exponent prime factors to calculate the LCM of 53537 and 53555.
LCM(53537,53555) = 111 × 311 × 1571 × 51 × 107111
LCM(53537,53555) = 2867174035
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