What is the Least Common Multiple of 86227 and 86234?
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 86227 and 86234 is 7435699118.
LCM(86227,86234) = 7435699118
Least Common Multiple of 86227 and 86234 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86227 and 86234, than apply into the LCM equation.
GCF(86227,86234) = 1
LCM(86227,86234) = ( 86227 × 86234) / 1
LCM(86227,86234) = 7435699118 / 1
LCM(86227,86234) = 7435699118
Least Common Multiple (LCM) of 86227 and 86234 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 86227 and 86234. First we will calculate the prime factors of 86227 and 86234.
Prime Factorization of 86227
Prime factors of 86227 are 23, 163. Prime factorization of 86227 in exponential form is:
86227 = 232 × 1631
Prime Factorization of 86234
Prime factors of 86234 are 2, 43117. Prime factorization of 86234 in exponential form is:
86234 = 21 × 431171
Now multiplying the highest exponent prime factors to calculate the LCM of 86227 and 86234.
LCM(86227,86234) = 232 × 1631 × 21 × 431171
LCM(86227,86234) = 7435699118
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