What is the Least Common Multiple of 26188 and 26202?
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 26188 and 26202 is 343088988.
LCM(26188,26202) = 343088988
Least Common Multiple of 26188 and 26202 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26188 and 26202, than apply into the LCM equation.
GCF(26188,26202) = 2
LCM(26188,26202) = ( 26188 × 26202) / 2
LCM(26188,26202) = 686177976 / 2
LCM(26188,26202) = 343088988
Least Common Multiple (LCM) of 26188 and 26202 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 26188 and 26202. First we will calculate the prime factors of 26188 and 26202.
Prime Factorization of 26188
Prime factors of 26188 are 2, 6547. Prime factorization of 26188 in exponential form is:
26188 = 22 × 65471
Prime Factorization of 26202
Prime factors of 26202 are 2, 3, 11, 397. Prime factorization of 26202 in exponential form is:
26202 = 21 × 31 × 111 × 3971
Now multiplying the highest exponent prime factors to calculate the LCM of 26188 and 26202.
LCM(26188,26202) = 22 × 65471 × 31 × 111 × 3971
LCM(26188,26202) = 343088988
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