What is the Least Common Multiple of 48219 and 48223?
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 48219 and 48223 is 2325264837.
LCM(48219,48223) = 2325264837
Least Common Multiple of 48219 and 48223 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48219 and 48223, than apply into the LCM equation.
GCF(48219,48223) = 1
LCM(48219,48223) = ( 48219 × 48223) / 1
LCM(48219,48223) = 2325264837 / 1
LCM(48219,48223) = 2325264837
Least Common Multiple (LCM) of 48219 and 48223 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 48219 and 48223. First we will calculate the prime factors of 48219 and 48223.
Prime Factorization of 48219
Prime factors of 48219 are 3, 16073. Prime factorization of 48219 in exponential form is:
48219 = 31 × 160731
Prime Factorization of 48223
Prime factors of 48223 are 7, 83. Prime factorization of 48223 in exponential form is:
48223 = 71 × 832
Now multiplying the highest exponent prime factors to calculate the LCM of 48219 and 48223.
LCM(48219,48223) = 31 × 160731 × 71 × 832
LCM(48219,48223) = 2325264837
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