What is the Least Common Multiple of 64429 and 64441?
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 64429 and 64441 is 4151869189.
LCM(64429,64441) = 4151869189
Least Common Multiple of 64429 and 64441 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64429 and 64441, than apply into the LCM equation.
GCF(64429,64441) = 1
LCM(64429,64441) = ( 64429 × 64441) / 1
LCM(64429,64441) = 4151869189 / 1
LCM(64429,64441) = 4151869189
Least Common Multiple (LCM) of 64429 and 64441 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 64429 and 64441. First we will calculate the prime factors of 64429 and 64441.
Prime Factorization of 64429
Prime factors of 64429 are 19, 3391. Prime factorization of 64429 in exponential form is:
64429 = 191 × 33911
Prime Factorization of 64441
Prime factors of 64441 are 13, 4957. Prime factorization of 64441 in exponential form is:
64441 = 131 × 49571
Now multiplying the highest exponent prime factors to calculate the LCM of 64429 and 64441.
LCM(64429,64441) = 191 × 33911 × 131 × 49571
LCM(64429,64441) = 4151869189
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