What is the Least Common Multiple of 26387 and 26407?
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 26387 and 26407 is 696801509.
LCM(26387,26407) = 696801509
Least Common Multiple of 26387 and 26407 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26387 and 26407, than apply into the LCM equation.
GCF(26387,26407) = 1
LCM(26387,26407) = ( 26387 × 26407) / 1
LCM(26387,26407) = 696801509 / 1
LCM(26387,26407) = 696801509
Least Common Multiple (LCM) of 26387 and 26407 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 26387 and 26407. First we will calculate the prime factors of 26387 and 26407.
Prime Factorization of 26387
Prime factors of 26387 are 26387. Prime factorization of 26387 in exponential form is:
26387 = 263871
Prime Factorization of 26407
Prime factors of 26407 are 26407. Prime factorization of 26407 in exponential form is:
26407 = 264071
Now multiplying the highest exponent prime factors to calculate the LCM of 26387 and 26407.
LCM(26387,26407) = 263871 × 264071
LCM(26387,26407) = 696801509
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