What is the Least Common Multiple of 48452 and 48459?
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 48452 and 48459 is 2347935468.
LCM(48452,48459) = 2347935468
Least Common Multiple of 48452 and 48459 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48452 and 48459, than apply into the LCM equation.
GCF(48452,48459) = 1
LCM(48452,48459) = ( 48452 × 48459) / 1
LCM(48452,48459) = 2347935468 / 1
LCM(48452,48459) = 2347935468
Least Common Multiple (LCM) of 48452 and 48459 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 48452 and 48459. First we will calculate the prime factors of 48452 and 48459.
Prime Factorization of 48452
Prime factors of 48452 are 2, 12113. Prime factorization of 48452 in exponential form is:
48452 = 22 × 121131
Prime Factorization of 48459
Prime factors of 48459 are 3, 29, 557. Prime factorization of 48459 in exponential form is:
48459 = 31 × 291 × 5571
Now multiplying the highest exponent prime factors to calculate the LCM of 48452 and 48459.
LCM(48452,48459) = 22 × 121131 × 31 × 291 × 5571
LCM(48452,48459) = 2347935468
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