What is the Least Common Multiple of 22411 and 22416?
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 22416 is 502364976.
LCM(22411,22416) = 502364976
Least Common Multiple of 22411 and 22416 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 22416, than apply into the LCM equation.
GCF(22411,22416) = 1
LCM(22411,22416) = ( 22411 × 22416) / 1
LCM(22411,22416) = 502364976 / 1
LCM(22411,22416) = 502364976
Least Common Multiple (LCM) of 22411 and 22416 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 22411 and 22416. First we will calculate the prime factors of 22411 and 22416.
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 22416
Prime factors of 22416 are 2, 3, 467. Prime factorization of 22416 in exponential form is:
22416 = 24 × 31 × 4671
Now multiplying the highest exponent prime factors to calculate the LCM of 22411 and 22416.
LCM(22411,22416) = 731 × 3071 × 24 × 31 × 4671
LCM(22411,22416) = 502364976
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