What is the Least Common Multiple of 26813 and 26818?
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 26813 and 26818 is 719071034.
LCM(26813,26818) = 719071034
Least Common Multiple of 26813 and 26818 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26813 and 26818, than apply into the LCM equation.
GCF(26813,26818) = 1
LCM(26813,26818) = ( 26813 × 26818) / 1
LCM(26813,26818) = 719071034 / 1
LCM(26813,26818) = 719071034
Least Common Multiple (LCM) of 26813 and 26818 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 26813 and 26818. First we will calculate the prime factors of 26813 and 26818.
Prime Factorization of 26813
Prime factors of 26813 are 26813. Prime factorization of 26813 in exponential form is:
26813 = 268131
Prime Factorization of 26818
Prime factors of 26818 are 2, 11, 23, 53. Prime factorization of 26818 in exponential form is:
26818 = 21 × 111 × 231 × 531
Now multiplying the highest exponent prime factors to calculate the LCM of 26813 and 26818.
LCM(26813,26818) = 268131 × 21 × 111 × 231 × 531
LCM(26813,26818) = 719071034
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