What is the Least Common Multiple of 26162 and 26179?
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 26162 and 26179 is 684894998.
LCM(26162,26179) = 684894998
Least Common Multiple of 26162 and 26179 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26162 and 26179, than apply into the LCM equation.
GCF(26162,26179) = 1
LCM(26162,26179) = ( 26162 × 26179) / 1
LCM(26162,26179) = 684894998 / 1
LCM(26162,26179) = 684894998
Least Common Multiple (LCM) of 26162 and 26179 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 26162 and 26179. First we will calculate the prime factors of 26162 and 26179.
Prime Factorization of 26162
Prime factors of 26162 are 2, 103, 127. Prime factorization of 26162 in exponential form is:
26162 = 21 × 1031 × 1271
Prime Factorization of 26179
Prime factors of 26179 are 47, 557. Prime factorization of 26179 in exponential form is:
26179 = 471 × 5571
Now multiplying the highest exponent prime factors to calculate the LCM of 26162 and 26179.
LCM(26162,26179) = 21 × 1031 × 1271 × 471 × 5571
LCM(26162,26179) = 684894998
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