What is the Least Common Multiple of 22022 and 22028?
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 22022 and 22028 is 242550308.
LCM(22022,22028) = 242550308
Least Common Multiple of 22022 and 22028 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22022 and 22028, than apply into the LCM equation.
GCF(22022,22028) = 2
LCM(22022,22028) = ( 22022 × 22028) / 2
LCM(22022,22028) = 485100616 / 2
LCM(22022,22028) = 242550308
Least Common Multiple (LCM) of 22022 and 22028 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 22022 and 22028. First we will calculate the prime factors of 22022 and 22028.
Prime Factorization of 22022
Prime factors of 22022 are 2, 7, 11, 13. Prime factorization of 22022 in exponential form is:
22022 = 21 × 71 × 112 × 131
Prime Factorization of 22028
Prime factors of 22028 are 2, 5507. Prime factorization of 22028 in exponential form is:
22028 = 22 × 55071
Now multiplying the highest exponent prime factors to calculate the LCM of 22022 and 22028.
LCM(22022,22028) = 22 × 71 × 112 × 131 × 55071
LCM(22022,22028) = 242550308
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