What is the Least Common Multiple of 64782 and 64799?
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 64782 and 64799 is 4197808818.
LCM(64782,64799) = 4197808818
Least Common Multiple of 64782 and 64799 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64782 and 64799, than apply into the LCM equation.
GCF(64782,64799) = 1
LCM(64782,64799) = ( 64782 × 64799) / 1
LCM(64782,64799) = 4197808818 / 1
LCM(64782,64799) = 4197808818
Least Common Multiple (LCM) of 64782 and 64799 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 64782 and 64799. First we will calculate the prime factors of 64782 and 64799.
Prime Factorization of 64782
Prime factors of 64782 are 2, 3, 59, 61. Prime factorization of 64782 in exponential form is:
64782 = 21 × 32 × 591 × 611
Prime Factorization of 64799
Prime factors of 64799 are 7, 9257. Prime factorization of 64799 in exponential form is:
64799 = 71 × 92571
Now multiplying the highest exponent prime factors to calculate the LCM of 64782 and 64799.
LCM(64782,64799) = 21 × 32 × 591 × 611 × 71 × 92571
LCM(64782,64799) = 4197808818
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