What is the Least Common Multiple of 48104 and 48118?
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 48104 and 48118 is 165333448.
LCM(48104,48118) = 165333448
Least Common Multiple of 48104 and 48118 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48104 and 48118, than apply into the LCM equation.
GCF(48104,48118) = 14
LCM(48104,48118) = ( 48104 × 48118) / 14
LCM(48104,48118) = 2314668272 / 14
LCM(48104,48118) = 165333448
Least Common Multiple (LCM) of 48104 and 48118 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 48104 and 48118. First we will calculate the prime factors of 48104 and 48118.
Prime Factorization of 48104
Prime factors of 48104 are 2, 7, 859. Prime factorization of 48104 in exponential form is:
48104 = 23 × 71 × 8591
Prime Factorization of 48118
Prime factors of 48118 are 2, 7, 491. Prime factorization of 48118 in exponential form is:
48118 = 21 × 72 × 4911
Now multiplying the highest exponent prime factors to calculate the LCM of 48104 and 48118.
LCM(48104,48118) = 23 × 72 × 8591 × 4911
LCM(48104,48118) = 165333448
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