What is the Least Common Multiple of 26183 and 26193?
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 26183 and 26193 is 685811319.
LCM(26183,26193) = 685811319
Least Common Multiple of 26183 and 26193 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26183 and 26193, than apply into the LCM equation.
GCF(26183,26193) = 1
LCM(26183,26193) = ( 26183 × 26193) / 1
LCM(26183,26193) = 685811319 / 1
LCM(26183,26193) = 685811319
Least Common Multiple (LCM) of 26183 and 26193 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 26183 and 26193. First we will calculate the prime factors of 26183 and 26193.
Prime Factorization of 26183
Prime factors of 26183 are 26183. Prime factorization of 26183 in exponential form is:
26183 = 261831
Prime Factorization of 26193
Prime factors of 26193 are 3, 8731. Prime factorization of 26193 in exponential form is:
26193 = 31 × 87311
Now multiplying the highest exponent prime factors to calculate the LCM of 26183 and 26193.
LCM(26183,26193) = 261831 × 31 × 87311
LCM(26183,26193) = 685811319
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