What is the Least Common Multiple of 64491 and 64495?
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 64491 and 64495 is 4159347045.
LCM(64491,64495) = 4159347045
Least Common Multiple of 64491 and 64495 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64491 and 64495, than apply into the LCM equation.
GCF(64491,64495) = 1
LCM(64491,64495) = ( 64491 × 64495) / 1
LCM(64491,64495) = 4159347045 / 1
LCM(64491,64495) = 4159347045
Least Common Multiple (LCM) of 64491 and 64495 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 64491 and 64495. First we will calculate the prime factors of 64491 and 64495.
Prime Factorization of 64491
Prime factors of 64491 are 3, 7, 37, 83. Prime factorization of 64491 in exponential form is:
64491 = 31 × 71 × 371 × 831
Prime Factorization of 64495
Prime factors of 64495 are 5, 12899. Prime factorization of 64495 in exponential form is:
64495 = 51 × 128991
Now multiplying the highest exponent prime factors to calculate the LCM of 64491 and 64495.
LCM(64491,64495) = 31 × 71 × 371 × 831 × 51 × 128991
LCM(64491,64495) = 4159347045
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