What is the Least Common Multiple of 48665 and 48669?
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 48665 and 48669 is 2368476885.
LCM(48665,48669) = 2368476885
Least Common Multiple of 48665 and 48669 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48665 and 48669, than apply into the LCM equation.
GCF(48665,48669) = 1
LCM(48665,48669) = ( 48665 × 48669) / 1
LCM(48665,48669) = 2368476885 / 1
LCM(48665,48669) = 2368476885
Least Common Multiple (LCM) of 48665 and 48669 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 48665 and 48669. First we will calculate the prime factors of 48665 and 48669.
Prime Factorization of 48665
Prime factors of 48665 are 5, 9733. Prime factorization of 48665 in exponential form is:
48665 = 51 × 97331
Prime Factorization of 48669
Prime factors of 48669 are 3, 16223. Prime factorization of 48669 in exponential form is:
48669 = 31 × 162231
Now multiplying the highest exponent prime factors to calculate the LCM of 48665 and 48669.
LCM(48665,48669) = 51 × 97331 × 31 × 162231
LCM(48665,48669) = 2368476885
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