What is the Least Common Multiple of 64487 and 64503?
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 64487 and 64503 is 4159604961.
LCM(64487,64503) = 4159604961
Least Common Multiple of 64487 and 64503 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64487 and 64503, than apply into the LCM equation.
GCF(64487,64503) = 1
LCM(64487,64503) = ( 64487 × 64503) / 1
LCM(64487,64503) = 4159604961 / 1
LCM(64487,64503) = 4159604961
Least Common Multiple (LCM) of 64487 and 64503 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 64487 and 64503. First we will calculate the prime factors of 64487 and 64503.
Prime Factorization of 64487
Prime factors of 64487 are 59, 1093. Prime factorization of 64487 in exponential form is:
64487 = 591 × 10931
Prime Factorization of 64503
Prime factors of 64503 are 3, 2389. Prime factorization of 64503 in exponential form is:
64503 = 33 × 23891
Now multiplying the highest exponent prime factors to calculate the LCM of 64487 and 64503.
LCM(64487,64503) = 591 × 10931 × 33 × 23891
LCM(64487,64503) = 4159604961
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