What is the Least Common Multiple of 64779 and 64787?
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 64779 and 64787 is 4196837073.
LCM(64779,64787) = 4196837073
Least Common Multiple of 64779 and 64787 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64779 and 64787, than apply into the LCM equation.
GCF(64779,64787) = 1
LCM(64779,64787) = ( 64779 × 64787) / 1
LCM(64779,64787) = 4196837073 / 1
LCM(64779,64787) = 4196837073
Least Common Multiple (LCM) of 64779 and 64787 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 64779 and 64787. First we will calculate the prime factors of 64779 and 64787.
Prime Factorization of 64779
Prime factors of 64779 are 3, 11, 13, 151. Prime factorization of 64779 in exponential form is:
64779 = 31 × 111 × 131 × 1511
Prime Factorization of 64787
Prime factors of 64787 are 17, 37, 103. Prime factorization of 64787 in exponential form is:
64787 = 171 × 371 × 1031
Now multiplying the highest exponent prime factors to calculate the LCM of 64779 and 64787.
LCM(64779,64787) = 31 × 111 × 131 × 1511 × 171 × 371 × 1031
LCM(64779,64787) = 4196837073
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