What is the Least Common Multiple of 26215 and 26228?
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 26215 and 26228 is 687567020.
LCM(26215,26228) = 687567020
Least Common Multiple of 26215 and 26228 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26215 and 26228, than apply into the LCM equation.
GCF(26215,26228) = 1
LCM(26215,26228) = ( 26215 × 26228) / 1
LCM(26215,26228) = 687567020 / 1
LCM(26215,26228) = 687567020
Least Common Multiple (LCM) of 26215 and 26228 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 26215 and 26228. First we will calculate the prime factors of 26215 and 26228.
Prime Factorization of 26215
Prime factors of 26215 are 5, 7, 107. Prime factorization of 26215 in exponential form is:
26215 = 51 × 72 × 1071
Prime Factorization of 26228
Prime factors of 26228 are 2, 79, 83. Prime factorization of 26228 in exponential form is:
26228 = 22 × 791 × 831
Now multiplying the highest exponent prime factors to calculate the LCM of 26215 and 26228.
LCM(26215,26228) = 51 × 72 × 1071 × 22 × 791 × 831
LCM(26215,26228) = 687567020
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