What is the Least Common Multiple of 26851 and 26870?
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 26851 and 26870 is 721486370.
LCM(26851,26870) = 721486370
Least Common Multiple of 26851 and 26870 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26851 and 26870, than apply into the LCM equation.
GCF(26851,26870) = 1
LCM(26851,26870) = ( 26851 × 26870) / 1
LCM(26851,26870) = 721486370 / 1
LCM(26851,26870) = 721486370
Least Common Multiple (LCM) of 26851 and 26870 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 26851 and 26870. First we will calculate the prime factors of 26851 and 26870.
Prime Factorization of 26851
Prime factors of 26851 are 11, 2441. Prime factorization of 26851 in exponential form is:
26851 = 111 × 24411
Prime Factorization of 26870
Prime factors of 26870 are 2, 5, 2687. Prime factorization of 26870 in exponential form is:
26870 = 21 × 51 × 26871
Now multiplying the highest exponent prime factors to calculate the LCM of 26851 and 26870.
LCM(26851,26870) = 111 × 24411 × 21 × 51 × 26871
LCM(26851,26870) = 721486370
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