What is the Least Common Multiple of 64222 and 64240?
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 64240 is 2062810640.
LCM(64222,64240) = 2062810640
Least Common Multiple of 64222 and 64240 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 64240, than apply into the LCM equation.
GCF(64222,64240) = 2
LCM(64222,64240) = ( 64222 × 64240) / 2
LCM(64222,64240) = 4125621280 / 2
LCM(64222,64240) = 2062810640
Least Common Multiple (LCM) of 64222 and 64240 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 64222 and 64240. First we will calculate the prime factors of 64222 and 64240.
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 64240
Prime factors of 64240 are 2, 5, 11, 73. Prime factorization of 64240 in exponential form is:
64240 = 24 × 51 × 111 × 731
Now multiplying the highest exponent prime factors to calculate the LCM of 64222 and 64240.
LCM(64222,64240) = 24 × 1631 × 1971 × 51 × 111 × 731
LCM(64222,64240) = 2062810640
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