What is the Least Common Multiple of 22421 and 22429?
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 22421 and 22429 is 502880609.
LCM(22421,22429) = 502880609
Least Common Multiple of 22421 and 22429 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22421 and 22429, than apply into the LCM equation.
GCF(22421,22429) = 1
LCM(22421,22429) = ( 22421 × 22429) / 1
LCM(22421,22429) = 502880609 / 1
LCM(22421,22429) = 502880609
Least Common Multiple (LCM) of 22421 and 22429 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 22421 and 22429. First we will calculate the prime factors of 22421 and 22429.
Prime Factorization of 22421
Prime factors of 22421 are 7, 3203. Prime factorization of 22421 in exponential form is:
22421 = 71 × 32031
Prime Factorization of 22429
Prime factors of 22429 are 11, 2039. Prime factorization of 22429 in exponential form is:
22429 = 111 × 20391
Now multiplying the highest exponent prime factors to calculate the LCM of 22421 and 22429.
LCM(22421,22429) = 71 × 32031 × 111 × 20391
LCM(22421,22429) = 502880609
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Related Least Common Multiples of 22429
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