What is the Least Common Multiple of 64982 and 64986?
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 64982 and 64986 is 2111460126.
LCM(64982,64986) = 2111460126
Least Common Multiple of 64982 and 64986 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64982 and 64986, than apply into the LCM equation.
GCF(64982,64986) = 2
LCM(64982,64986) = ( 64982 × 64986) / 2
LCM(64982,64986) = 4222920252 / 2
LCM(64982,64986) = 2111460126
Least Common Multiple (LCM) of 64982 and 64986 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 64982 and 64986. First we will calculate the prime factors of 64982 and 64986.
Prime Factorization of 64982
Prime factors of 64982 are 2, 32491. Prime factorization of 64982 in exponential form is:
64982 = 21 × 324911
Prime Factorization of 64986
Prime factors of 64986 are 2, 3, 10831. Prime factorization of 64986 in exponential form is:
64986 = 21 × 31 × 108311
Now multiplying the highest exponent prime factors to calculate the LCM of 64982 and 64986.
LCM(64982,64986) = 21 × 324911 × 31 × 108311
LCM(64982,64986) = 2111460126
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