What is the Least Common Multiple of 64989 and 64994?
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 64989 and 64994 is 4223895066.
LCM(64989,64994) = 4223895066
Least Common Multiple of 64989 and 64994 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64989 and 64994, than apply into the LCM equation.
GCF(64989,64994) = 1
LCM(64989,64994) = ( 64989 × 64994) / 1
LCM(64989,64994) = 4223895066 / 1
LCM(64989,64994) = 4223895066
Least Common Multiple (LCM) of 64989 and 64994 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 64989 and 64994. First we will calculate the prime factors of 64989 and 64994.
Prime Factorization of 64989
Prime factors of 64989 are 3, 29, 83. Prime factorization of 64989 in exponential form is:
64989 = 33 × 291 × 831
Prime Factorization of 64994
Prime factors of 64994 are 2, 32497. Prime factorization of 64994 in exponential form is:
64994 = 21 × 324971
Now multiplying the highest exponent prime factors to calculate the LCM of 64989 and 64994.
LCM(64989,64994) = 33 × 291 × 831 × 21 × 324971
LCM(64989,64994) = 4223895066
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