What is the Least Common Multiple of 26833 and 26840?
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 26833 and 26840 is 720197720.
LCM(26833,26840) = 720197720
Least Common Multiple of 26833 and 26840 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26833 and 26840, than apply into the LCM equation.
GCF(26833,26840) = 1
LCM(26833,26840) = ( 26833 × 26840) / 1
LCM(26833,26840) = 720197720 / 1
LCM(26833,26840) = 720197720
Least Common Multiple (LCM) of 26833 and 26840 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 26833 and 26840. First we will calculate the prime factors of 26833 and 26840.
Prime Factorization of 26833
Prime factors of 26833 are 26833. Prime factorization of 26833 in exponential form is:
26833 = 268331
Prime Factorization of 26840
Prime factors of 26840 are 2, 5, 11, 61. Prime factorization of 26840 in exponential form is:
26840 = 23 × 51 × 111 × 611
Now multiplying the highest exponent prime factors to calculate the LCM of 26833 and 26840.
LCM(26833,26840) = 268331 × 23 × 51 × 111 × 611
LCM(26833,26840) = 720197720
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Related Least Common Multiples of 26840
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