What is the Least Common Multiple of 15607 and 15611?
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 15607 and 15611 is 243640877.
LCM(15607,15611) = 243640877
Least Common Multiple of 15607 and 15611 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15607 and 15611, than apply into the LCM equation.
GCF(15607,15611) = 1
LCM(15607,15611) = ( 15607 × 15611) / 1
LCM(15607,15611) = 243640877 / 1
LCM(15607,15611) = 243640877
Least Common Multiple (LCM) of 15607 and 15611 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 15607 and 15611. First we will calculate the prime factors of 15607 and 15611.
Prime Factorization of 15607
Prime factors of 15607 are 15607. Prime factorization of 15607 in exponential form is:
15607 = 156071
Prime Factorization of 15611
Prime factors of 15611 are 67, 233. Prime factorization of 15611 in exponential form is:
15611 = 671 × 2331
Now multiplying the highest exponent prime factors to calculate the LCM of 15607 and 15611.
LCM(15607,15611) = 156071 × 671 × 2331
LCM(15607,15611) = 243640877
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