What is the Least Common Multiple of 48209 and 48214?
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 48209 and 48214 is 2324348726.
LCM(48209,48214) = 2324348726
Least Common Multiple of 48209 and 48214 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48209 and 48214, than apply into the LCM equation.
GCF(48209,48214) = 1
LCM(48209,48214) = ( 48209 × 48214) / 1
LCM(48209,48214) = 2324348726 / 1
LCM(48209,48214) = 2324348726
Least Common Multiple (LCM) of 48209 and 48214 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 48209 and 48214. First we will calculate the prime factors of 48209 and 48214.
Prime Factorization of 48209
Prime factors of 48209 are 7, 71, 97. Prime factorization of 48209 in exponential form is:
48209 = 71 × 711 × 971
Prime Factorization of 48214
Prime factors of 48214 are 2, 24107. Prime factorization of 48214 in exponential form is:
48214 = 21 × 241071
Now multiplying the highest exponent prime factors to calculate the LCM of 48209 and 48214.
LCM(48209,48214) = 71 × 711 × 971 × 21 × 241071
LCM(48209,48214) = 2324348726
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