What is the Least Common Multiple of 15648 and 15655?
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 15648 and 15655 is 244969440.
LCM(15648,15655) = 244969440
Least Common Multiple of 15648 and 15655 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15648 and 15655, than apply into the LCM equation.
GCF(15648,15655) = 1
LCM(15648,15655) = ( 15648 × 15655) / 1
LCM(15648,15655) = 244969440 / 1
LCM(15648,15655) = 244969440
Least Common Multiple (LCM) of 15648 and 15655 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 15648 and 15655. First we will calculate the prime factors of 15648 and 15655.
Prime Factorization of 15648
Prime factors of 15648 are 2, 3, 163. Prime factorization of 15648 in exponential form is:
15648 = 25 × 31 × 1631
Prime Factorization of 15655
Prime factors of 15655 are 5, 31, 101. Prime factorization of 15655 in exponential form is:
15655 = 51 × 311 × 1011
Now multiplying the highest exponent prime factors to calculate the LCM of 15648 and 15655.
LCM(15648,15655) = 25 × 31 × 1631 × 51 × 311 × 1011
LCM(15648,15655) = 244969440
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