What is the Least Common Multiple of 64222 and 64229?
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 64229 is 4124914838.
LCM(64222,64229) = 4124914838
Least Common Multiple of 64222 and 64229 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 64229, than apply into the LCM equation.
GCF(64222,64229) = 1
LCM(64222,64229) = ( 64222 × 64229) / 1
LCM(64222,64229) = 4124914838 / 1
LCM(64222,64229) = 4124914838
Least Common Multiple (LCM) of 64222 and 64229 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 64222 and 64229. First we will calculate the prime factors of 64222 and 64229.
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 64229
Prime factors of 64229 are 11, 5839. Prime factorization of 64229 in exponential form is:
64229 = 111 × 58391
Now multiplying the highest exponent prime factors to calculate the LCM of 64222 and 64229.
LCM(64222,64229) = 21 × 1631 × 1971 × 111 × 58391
LCM(64222,64229) = 4124914838
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