What is the Least Common Multiple of 26402 and 26411?
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 26402 and 26411 is 697303222.
LCM(26402,26411) = 697303222
Least Common Multiple of 26402 and 26411 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26402 and 26411, than apply into the LCM equation.
GCF(26402,26411) = 1
LCM(26402,26411) = ( 26402 × 26411) / 1
LCM(26402,26411) = 697303222 / 1
LCM(26402,26411) = 697303222
Least Common Multiple (LCM) of 26402 and 26411 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 26402 and 26411. First we will calculate the prime factors of 26402 and 26411.
Prime Factorization of 26402
Prime factors of 26402 are 2, 43, 307. Prime factorization of 26402 in exponential form is:
26402 = 21 × 431 × 3071
Prime Factorization of 26411
Prime factors of 26411 are 7, 11. Prime factorization of 26411 in exponential form is:
26411 = 74 × 111
Now multiplying the highest exponent prime factors to calculate the LCM of 26402 and 26411.
LCM(26402,26411) = 21 × 431 × 3071 × 74 × 111
LCM(26402,26411) = 697303222
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