What is the Least Common Multiple of 48655 and 48659?
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 48655 and 48659 is 2367503645.
LCM(48655,48659) = 2367503645
Least Common Multiple of 48655 and 48659 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48655 and 48659, than apply into the LCM equation.
GCF(48655,48659) = 1
LCM(48655,48659) = ( 48655 × 48659) / 1
LCM(48655,48659) = 2367503645 / 1
LCM(48655,48659) = 2367503645
Least Common Multiple (LCM) of 48655 and 48659 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 48655 and 48659. First we will calculate the prime factors of 48655 and 48659.
Prime Factorization of 48655
Prime factors of 48655 are 5, 37, 263. Prime factorization of 48655 in exponential form is:
48655 = 51 × 371 × 2631
Prime Factorization of 48659
Prime factors of 48659 are 13, 19, 197. Prime factorization of 48659 in exponential form is:
48659 = 131 × 191 × 1971
Now multiplying the highest exponent prime factors to calculate the LCM of 48655 and 48659.
LCM(48655,48659) = 51 × 371 × 2631 × 131 × 191 × 1971
LCM(48655,48659) = 2367503645
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