What is the Least Common Multiple of 64234 and 64245?
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 64234 and 64245 is 4126713330.
LCM(64234,64245) = 4126713330
Least Common Multiple of 64234 and 64245 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64234 and 64245, than apply into the LCM equation.
GCF(64234,64245) = 1
LCM(64234,64245) = ( 64234 × 64245) / 1
LCM(64234,64245) = 4126713330 / 1
LCM(64234,64245) = 4126713330
Least Common Multiple (LCM) of 64234 and 64245 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 64234 and 64245. First we will calculate the prime factors of 64234 and 64245.
Prime Factorization of 64234
Prime factors of 64234 are 2, 32117. Prime factorization of 64234 in exponential form is:
64234 = 21 × 321171
Prime Factorization of 64245
Prime factors of 64245 are 3, 5, 4283. Prime factorization of 64245 in exponential form is:
64245 = 31 × 51 × 42831
Now multiplying the highest exponent prime factors to calculate the LCM of 64234 and 64245.
LCM(64234,64245) = 21 × 321171 × 31 × 51 × 42831
LCM(64234,64245) = 4126713330
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