What is the Least Common Multiple of 22637 and 22655?
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 22637 and 22655 is 512841235.
LCM(22637,22655) = 512841235
Least Common Multiple of 22637 and 22655 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22637 and 22655, than apply into the LCM equation.
GCF(22637,22655) = 1
LCM(22637,22655) = ( 22637 × 22655) / 1
LCM(22637,22655) = 512841235 / 1
LCM(22637,22655) = 512841235
Least Common Multiple (LCM) of 22637 and 22655 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 22637 and 22655. First we will calculate the prime factors of 22637 and 22655.
Prime Factorization of 22637
Prime factors of 22637 are 22637. Prime factorization of 22637 in exponential form is:
22637 = 226371
Prime Factorization of 22655
Prime factors of 22655 are 5, 23, 197. Prime factorization of 22655 in exponential form is:
22655 = 51 × 231 × 1971
Now multiplying the highest exponent prime factors to calculate the LCM of 22637 and 22655.
LCM(22637,22655) = 226371 × 51 × 231 × 1971
LCM(22637,22655) = 512841235
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