What is the Least Common Multiple of 26615 and 26622?
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 26615 and 26622 is 708544530.
LCM(26615,26622) = 708544530
Least Common Multiple of 26615 and 26622 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26615 and 26622, than apply into the LCM equation.
GCF(26615,26622) = 1
LCM(26615,26622) = ( 26615 × 26622) / 1
LCM(26615,26622) = 708544530 / 1
LCM(26615,26622) = 708544530
Least Common Multiple (LCM) of 26615 and 26622 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 26615 and 26622. First we will calculate the prime factors of 26615 and 26622.
Prime Factorization of 26615
Prime factors of 26615 are 5, 5323. Prime factorization of 26615 in exponential form is:
26615 = 51 × 53231
Prime Factorization of 26622
Prime factors of 26622 are 2, 3, 17, 29. Prime factorization of 26622 in exponential form is:
26622 = 21 × 33 × 171 × 291
Now multiplying the highest exponent prime factors to calculate the LCM of 26615 and 26622.
LCM(26615,26622) = 51 × 53231 × 21 × 33 × 171 × 291
LCM(26615,26622) = 708544530
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