What is the Least Common Multiple of 48211 and 48231?
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 48211 and 48231 is 2325264741.
LCM(48211,48231) = 2325264741
Least Common Multiple of 48211 and 48231 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48211 and 48231, than apply into the LCM equation.
GCF(48211,48231) = 1
LCM(48211,48231) = ( 48211 × 48231) / 1
LCM(48211,48231) = 2325264741 / 1
LCM(48211,48231) = 2325264741
Least Common Multiple (LCM) of 48211 and 48231 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 48211 and 48231. First we will calculate the prime factors of 48211 and 48231.
Prime Factorization of 48211
Prime factors of 48211 are 37, 1303. Prime factorization of 48211 in exponential form is:
48211 = 371 × 13031
Prime Factorization of 48231
Prime factors of 48231 are 3, 23, 233. Prime factorization of 48231 in exponential form is:
48231 = 32 × 231 × 2331
Now multiplying the highest exponent prime factors to calculate the LCM of 48211 and 48231.
LCM(48211,48231) = 371 × 13031 × 32 × 231 × 2331
LCM(48211,48231) = 2325264741
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