What is the Least Common Multiple of 26933 and 26944?
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 26933 and 26944 is 725682752.
LCM(26933,26944) = 725682752
Least Common Multiple of 26933 and 26944 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26933 and 26944, than apply into the LCM equation.
GCF(26933,26944) = 1
LCM(26933,26944) = ( 26933 × 26944) / 1
LCM(26933,26944) = 725682752 / 1
LCM(26933,26944) = 725682752
Least Common Multiple (LCM) of 26933 and 26944 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 26933 and 26944. First we will calculate the prime factors of 26933 and 26944.
Prime Factorization of 26933
Prime factors of 26933 are 23, 1171. Prime factorization of 26933 in exponential form is:
26933 = 231 × 11711
Prime Factorization of 26944
Prime factors of 26944 are 2, 421. Prime factorization of 26944 in exponential form is:
26944 = 26 × 4211
Now multiplying the highest exponent prime factors to calculate the LCM of 26933 and 26944.
LCM(26933,26944) = 231 × 11711 × 26 × 4211
LCM(26933,26944) = 725682752
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Related Least Common Multiples of 26944
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