What is the Least Common Multiple of 15832 and 15840?
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 15832 and 15840 is 31347360.
LCM(15832,15840) = 31347360
Least Common Multiple of 15832 and 15840 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15832 and 15840, than apply into the LCM equation.
GCF(15832,15840) = 8
LCM(15832,15840) = ( 15832 × 15840) / 8
LCM(15832,15840) = 250778880 / 8
LCM(15832,15840) = 31347360
Least Common Multiple (LCM) of 15832 and 15840 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 15832 and 15840. First we will calculate the prime factors of 15832 and 15840.
Prime Factorization of 15832
Prime factors of 15832 are 2, 1979. Prime factorization of 15832 in exponential form is:
15832 = 23 × 19791
Prime Factorization of 15840
Prime factors of 15840 are 2, 3, 5, 11. Prime factorization of 15840 in exponential form is:
15840 = 25 × 32 × 51 × 111
Now multiplying the highest exponent prime factors to calculate the LCM of 15832 and 15840.
LCM(15832,15840) = 25 × 19791 × 32 × 51 × 111
LCM(15832,15840) = 31347360
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