What is the Least Common Multiple of 26109 and 26120?
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 26109 and 26120 is 681967080.
LCM(26109,26120) = 681967080
Least Common Multiple of 26109 and 26120 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26109 and 26120, than apply into the LCM equation.
GCF(26109,26120) = 1
LCM(26109,26120) = ( 26109 × 26120) / 1
LCM(26109,26120) = 681967080 / 1
LCM(26109,26120) = 681967080
Least Common Multiple (LCM) of 26109 and 26120 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 26109 and 26120. First we will calculate the prime factors of 26109 and 26120.
Prime Factorization of 26109
Prime factors of 26109 are 3, 967. Prime factorization of 26109 in exponential form is:
26109 = 33 × 9671
Prime Factorization of 26120
Prime factors of 26120 are 2, 5, 653. Prime factorization of 26120 in exponential form is:
26120 = 23 × 51 × 6531
Now multiplying the highest exponent prime factors to calculate the LCM of 26109 and 26120.
LCM(26109,26120) = 33 × 9671 × 23 × 51 × 6531
LCM(26109,26120) = 681967080
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