What is the Least Common Multiple of 22411 and 22418?
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 22411 and 22418 is 502409798.
LCM(22411,22418) = 502409798
Least Common Multiple of 22411 and 22418 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22411 and 22418, than apply into the LCM equation.
GCF(22411,22418) = 1
LCM(22411,22418) = ( 22411 × 22418) / 1
LCM(22411,22418) = 502409798 / 1
LCM(22411,22418) = 502409798
Least Common Multiple (LCM) of 22411 and 22418 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 22411 and 22418. First we will calculate the prime factors of 22411 and 22418.
Prime Factorization of 22411
Prime factors of 22411 are 73, 307. Prime factorization of 22411 in exponential form is:
22411 = 731 × 3071
Prime Factorization of 22418
Prime factors of 22418 are 2, 11, 1019. Prime factorization of 22418 in exponential form is:
22418 = 21 × 111 × 10191
Now multiplying the highest exponent prime factors to calculate the LCM of 22411 and 22418.
LCM(22411,22418) = 731 × 3071 × 21 × 111 × 10191
LCM(22411,22418) = 502409798
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