What is the Least Common Multiple of 56222 and 56242?
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 56222 and 56242 is 1581018862.
LCM(56222,56242) = 1581018862
Least Common Multiple of 56222 and 56242 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56222 and 56242, than apply into the LCM equation.
GCF(56222,56242) = 2
LCM(56222,56242) = ( 56222 × 56242) / 2
LCM(56222,56242) = 3162037724 / 2
LCM(56222,56242) = 1581018862
Least Common Multiple (LCM) of 56222 and 56242 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 56222 and 56242. First we will calculate the prime factors of 56222 and 56242.
Prime Factorization of 56222
Prime factors of 56222 are 2, 28111. Prime factorization of 56222 in exponential form is:
56222 = 21 × 281111
Prime Factorization of 56242
Prime factors of 56242 are 2, 61, 461. Prime factorization of 56242 in exponential form is:
56242 = 21 × 611 × 4611
Now multiplying the highest exponent prime factors to calculate the LCM of 56222 and 56242.
LCM(56222,56242) = 21 × 281111 × 611 × 4611
LCM(56222,56242) = 1581018862
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