What is the Least Common Multiple of 22453 and 22463?
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 22453 and 22463 is 504361739.
LCM(22453,22463) = 504361739
Least Common Multiple of 22453 and 22463 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22453 and 22463, than apply into the LCM equation.
GCF(22453,22463) = 1
LCM(22453,22463) = ( 22453 × 22463) / 1
LCM(22453,22463) = 504361739 / 1
LCM(22453,22463) = 504361739
Least Common Multiple (LCM) of 22453 and 22463 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 22453 and 22463. First we will calculate the prime factors of 22453 and 22463.
Prime Factorization of 22453
Prime factors of 22453 are 22453. Prime factorization of 22453 in exponential form is:
22453 = 224531
Prime Factorization of 22463
Prime factors of 22463 are 7, 3209. Prime factorization of 22463 in exponential form is:
22463 = 71 × 32091
Now multiplying the highest exponent prime factors to calculate the LCM of 22453 and 22463.
LCM(22453,22463) = 224531 × 71 × 32091
LCM(22453,22463) = 504361739
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