What is the Least Common Multiple of 64073 and 64086?
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 64073 and 64086 is 4106182278.
LCM(64073,64086) = 4106182278
Least Common Multiple of 64073 and 64086 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64073 and 64086, than apply into the LCM equation.
GCF(64073,64086) = 1
LCM(64073,64086) = ( 64073 × 64086) / 1
LCM(64073,64086) = 4106182278 / 1
LCM(64073,64086) = 4106182278
Least Common Multiple (LCM) of 64073 and 64086 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 64073 and 64086. First we will calculate the prime factors of 64073 and 64086.
Prime Factorization of 64073
Prime factors of 64073 are 17, 3769. Prime factorization of 64073 in exponential form is:
64073 = 171 × 37691
Prime Factorization of 64086
Prime factors of 64086 are 2, 3, 11, 971. Prime factorization of 64086 in exponential form is:
64086 = 21 × 31 × 111 × 9711
Now multiplying the highest exponent prime factors to calculate the LCM of 64073 and 64086.
LCM(64073,64086) = 171 × 37691 × 21 × 31 × 111 × 9711
LCM(64073,64086) = 4106182278
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