What is the Least Common Multiple of 64222 and 64242?
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 64222 and 64242 is 2062874862.
LCM(64222,64242) = 2062874862
Least Common Multiple of 64222 and 64242 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64222 and 64242, than apply into the LCM equation.
GCF(64222,64242) = 2
LCM(64222,64242) = ( 64222 × 64242) / 2
LCM(64222,64242) = 4125749724 / 2
LCM(64222,64242) = 2062874862
Least Common Multiple (LCM) of 64222 and 64242 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 64222 and 64242. First we will calculate the prime factors of 64222 and 64242.
Prime Factorization of 64222
Prime factors of 64222 are 2, 163, 197. Prime factorization of 64222 in exponential form is:
64222 = 21 × 1631 × 1971
Prime Factorization of 64242
Prime factors of 64242 are 2, 3, 43, 83. Prime factorization of 64242 in exponential form is:
64242 = 21 × 32 × 431 × 831
Now multiplying the highest exponent prime factors to calculate the LCM of 64222 and 64242.
LCM(64222,64242) = 21 × 1631 × 1971 × 32 × 431 × 831
LCM(64222,64242) = 2062874862
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