What is the Least Common Multiple of 88222 and 88231?
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 88222 and 88231 is 7783915282.
LCM(88222,88231) = 7783915282
Least Common Multiple of 88222 and 88231 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88222 and 88231, than apply into the LCM equation.
GCF(88222,88231) = 1
LCM(88222,88231) = ( 88222 × 88231) / 1
LCM(88222,88231) = 7783915282 / 1
LCM(88222,88231) = 7783915282
Least Common Multiple (LCM) of 88222 and 88231 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 88222 and 88231. First we will calculate the prime factors of 88222 and 88231.
Prime Factorization of 88222
Prime factors of 88222 are 2, 44111. Prime factorization of 88222 in exponential form is:
88222 = 21 × 441111
Prime Factorization of 88231
Prime factors of 88231 are 11, 13, 617. Prime factorization of 88231 in exponential form is:
88231 = 111 × 131 × 6171
Now multiplying the highest exponent prime factors to calculate the LCM of 88222 and 88231.
LCM(88222,88231) = 21 × 441111 × 111 × 131 × 6171
LCM(88222,88231) = 7783915282
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