What is the Least Common Multiple of 26101 and 26118?
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 26101 and 26118 is 681705918.
LCM(26101,26118) = 681705918
Least Common Multiple of 26101 and 26118 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26101 and 26118, than apply into the LCM equation.
GCF(26101,26118) = 1
LCM(26101,26118) = ( 26101 × 26118) / 1
LCM(26101,26118) = 681705918 / 1
LCM(26101,26118) = 681705918
Least Common Multiple (LCM) of 26101 and 26118 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 26101 and 26118. First we will calculate the prime factors of 26101 and 26118.
Prime Factorization of 26101
Prime factors of 26101 are 43, 607. Prime factorization of 26101 in exponential form is:
26101 = 431 × 6071
Prime Factorization of 26118
Prime factors of 26118 are 2, 3, 1451. Prime factorization of 26118 in exponential form is:
26118 = 21 × 32 × 14511
Now multiplying the highest exponent prime factors to calculate the LCM of 26101 and 26118.
LCM(26101,26118) = 431 × 6071 × 21 × 32 × 14511
LCM(26101,26118) = 681705918
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