What is the Least Common Multiple of 48090 and 48108?
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 48090 and 48108 is 385585620.
LCM(48090,48108) = 385585620
Least Common Multiple of 48090 and 48108 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48090 and 48108, than apply into the LCM equation.
GCF(48090,48108) = 6
LCM(48090,48108) = ( 48090 × 48108) / 6
LCM(48090,48108) = 2313513720 / 6
LCM(48090,48108) = 385585620
Least Common Multiple (LCM) of 48090 and 48108 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 48090 and 48108. First we will calculate the prime factors of 48090 and 48108.
Prime Factorization of 48090
Prime factors of 48090 are 2, 3, 5, 7, 229. Prime factorization of 48090 in exponential form is:
48090 = 21 × 31 × 51 × 71 × 2291
Prime Factorization of 48108
Prime factors of 48108 are 2, 3, 19, 211. Prime factorization of 48108 in exponential form is:
48108 = 22 × 31 × 191 × 2111
Now multiplying the highest exponent prime factors to calculate the LCM of 48090 and 48108.
LCM(48090,48108) = 22 × 31 × 51 × 71 × 2291 × 191 × 2111
LCM(48090,48108) = 385585620
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