What is the Least Common Multiple of 15832 and 15852?
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 15852 is 62742216.
LCM(15832,15852) = 62742216
Least Common Multiple of 15832 and 15852 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 15852, than apply into the LCM equation.
GCF(15832,15852) = 4
LCM(15832,15852) = ( 15832 × 15852) / 4
LCM(15832,15852) = 250968864 / 4
LCM(15832,15852) = 62742216
Least Common Multiple (LCM) of 15832 and 15852 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 15832 and 15852. First we will calculate the prime factors of 15832 and 15852.
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 15852
Prime factors of 15852 are 2, 3, 1321. Prime factorization of 15852 in exponential form is:
15852 = 22 × 31 × 13211
Now multiplying the highest exponent prime factors to calculate the LCM of 15832 and 15852.
LCM(15832,15852) = 23 × 19791 × 31 × 13211
LCM(15832,15852) = 62742216
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