What is the Least Common Multiple of 22418 and 22432?
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 22418 and 22432 is 251440288.
LCM(22418,22432) = 251440288
Least Common Multiple of 22418 and 22432 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22418 and 22432, than apply into the LCM equation.
GCF(22418,22432) = 2
LCM(22418,22432) = ( 22418 × 22432) / 2
LCM(22418,22432) = 502880576 / 2
LCM(22418,22432) = 251440288
Least Common Multiple (LCM) of 22418 and 22432 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 22418 and 22432. First we will calculate the prime factors of 22418 and 22432.
Prime Factorization of 22418
Prime factors of 22418 are 2, 11, 1019. Prime factorization of 22418 in exponential form is:
22418 = 21 × 111 × 10191
Prime Factorization of 22432
Prime factors of 22432 are 2, 701. Prime factorization of 22432 in exponential form is:
22432 = 25 × 7011
Now multiplying the highest exponent prime factors to calculate the LCM of 22418 and 22432.
LCM(22418,22432) = 25 × 111 × 10191 × 7011
LCM(22418,22432) = 251440288
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