What is the Least Common Multiple of 26837 and 26853?
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 26837 and 26853 is 720653961.
LCM(26837,26853) = 720653961
Least Common Multiple of 26837 and 26853 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26837 and 26853, than apply into the LCM equation.
GCF(26837,26853) = 1
LCM(26837,26853) = ( 26837 × 26853) / 1
LCM(26837,26853) = 720653961 / 1
LCM(26837,26853) = 720653961
Least Common Multiple (LCM) of 26837 and 26853 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 26837 and 26853. First we will calculate the prime factors of 26837 and 26853.
Prime Factorization of 26837
Prime factors of 26837 are 47, 571. Prime factorization of 26837 in exponential form is:
26837 = 471 × 5711
Prime Factorization of 26853
Prime factors of 26853 are 3, 8951. Prime factorization of 26853 in exponential form is:
26853 = 31 × 89511
Now multiplying the highest exponent prime factors to calculate the LCM of 26837 and 26853.
LCM(26837,26853) = 471 × 5711 × 31 × 89511
LCM(26837,26853) = 720653961
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