What is the Least Common Multiple of 32048 and 32052?
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 32048 and 32052 is 256800624.
LCM(32048,32052) = 256800624
Least Common Multiple of 32048 and 32052 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32048 and 32052, than apply into the LCM equation.
GCF(32048,32052) = 4
LCM(32048,32052) = ( 32048 × 32052) / 4
LCM(32048,32052) = 1027202496 / 4
LCM(32048,32052) = 256800624
Least Common Multiple (LCM) of 32048 and 32052 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 32048 and 32052. First we will calculate the prime factors of 32048 and 32052.
Prime Factorization of 32048
Prime factors of 32048 are 2, 2003. Prime factorization of 32048 in exponential form is:
32048 = 24 × 20031
Prime Factorization of 32052
Prime factors of 32052 are 2, 3, 2671. Prime factorization of 32052 in exponential form is:
32052 = 22 × 31 × 26711
Now multiplying the highest exponent prime factors to calculate the LCM of 32048 and 32052.
LCM(32048,32052) = 24 × 20031 × 31 × 26711
LCM(32048,32052) = 256800624
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