What is the Least Common Multiple of 15530 and 15539?
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 15530 and 15539 is 241320670.
LCM(15530,15539) = 241320670
Least Common Multiple of 15530 and 15539 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15530 and 15539, than apply into the LCM equation.
GCF(15530,15539) = 1
LCM(15530,15539) = ( 15530 × 15539) / 1
LCM(15530,15539) = 241320670 / 1
LCM(15530,15539) = 241320670
Least Common Multiple (LCM) of 15530 and 15539 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 15530 and 15539. First we will calculate the prime factors of 15530 and 15539.
Prime Factorization of 15530
Prime factors of 15530 are 2, 5, 1553. Prime factorization of 15530 in exponential form is:
15530 = 21 × 51 × 15531
Prime Factorization of 15539
Prime factors of 15539 are 41, 379. Prime factorization of 15539 in exponential form is:
15539 = 411 × 3791
Now multiplying the highest exponent prime factors to calculate the LCM of 15530 and 15539.
LCM(15530,15539) = 21 × 51 × 15531 × 411 × 3791
LCM(15530,15539) = 241320670
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