What is the Least Common Multiple of 64474 and 64479?
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 64474 and 64479 is 4157219046.
LCM(64474,64479) = 4157219046
Least Common Multiple of 64474 and 64479 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64474 and 64479, than apply into the LCM equation.
GCF(64474,64479) = 1
LCM(64474,64479) = ( 64474 × 64479) / 1
LCM(64474,64479) = 4157219046 / 1
LCM(64474,64479) = 4157219046
Least Common Multiple (LCM) of 64474 and 64479 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 64474 and 64479. First we will calculate the prime factors of 64474 and 64479.
Prime Factorization of 64474
Prime factors of 64474 are 2, 32237. Prime factorization of 64474 in exponential form is:
64474 = 21 × 322371
Prime Factorization of 64479
Prime factors of 64479 are 3, 21493. Prime factorization of 64479 in exponential form is:
64479 = 31 × 214931
Now multiplying the highest exponent prime factors to calculate the LCM of 64474 and 64479.
LCM(64474,64479) = 21 × 322371 × 31 × 214931
LCM(64474,64479) = 4157219046
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