What is the Least Common Multiple of 26258 and 26277?
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 26258 and 26277 is 36314814.
LCM(26258,26277) = 36314814
Least Common Multiple of 26258 and 26277 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26258 and 26277, than apply into the LCM equation.
GCF(26258,26277) = 19
LCM(26258,26277) = ( 26258 × 26277) / 19
LCM(26258,26277) = 689981466 / 19
LCM(26258,26277) = 36314814
Least Common Multiple (LCM) of 26258 and 26277 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 26258 and 26277. First we will calculate the prime factors of 26258 and 26277.
Prime Factorization of 26258
Prime factors of 26258 are 2, 19, 691. Prime factorization of 26258 in exponential form is:
26258 = 21 × 191 × 6911
Prime Factorization of 26277
Prime factors of 26277 are 3, 19, 461. Prime factorization of 26277 in exponential form is:
26277 = 31 × 191 × 4611
Now multiplying the highest exponent prime factors to calculate the LCM of 26258 and 26277.
LCM(26258,26277) = 21 × 191 × 6911 × 31 × 4611
LCM(26258,26277) = 36314814
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