What is the Least Common Multiple of 64699 and 64718?
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 64699 and 64718 is 4187189882.
LCM(64699,64718) = 4187189882
Least Common Multiple of 64699 and 64718 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64699 and 64718, than apply into the LCM equation.
GCF(64699,64718) = 1
LCM(64699,64718) = ( 64699 × 64718) / 1
LCM(64699,64718) = 4187189882 / 1
LCM(64699,64718) = 4187189882
Least Common Multiple (LCM) of 64699 and 64718 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 64699 and 64718. First we will calculate the prime factors of 64699 and 64718.
Prime Factorization of 64699
Prime factors of 64699 are 23, 29, 97. Prime factorization of 64699 in exponential form is:
64699 = 231 × 291 × 971
Prime Factorization of 64718
Prime factors of 64718 are 2, 32359. Prime factorization of 64718 in exponential form is:
64718 = 21 × 323591
Now multiplying the highest exponent prime factors to calculate the LCM of 64699 and 64718.
LCM(64699,64718) = 231 × 291 × 971 × 21 × 323591
LCM(64699,64718) = 4187189882
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