What is the Least Common Multiple of 68694 and 68712?
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 68694 and 68712 is 786683688.
LCM(68694,68712) = 786683688
Least Common Multiple of 68694 and 68712 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68694 and 68712, than apply into the LCM equation.
GCF(68694,68712) = 6
LCM(68694,68712) = ( 68694 × 68712) / 6
LCM(68694,68712) = 4720102128 / 6
LCM(68694,68712) = 786683688
Least Common Multiple (LCM) of 68694 and 68712 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 68694 and 68712. First we will calculate the prime factors of 68694 and 68712.
Prime Factorization of 68694
Prime factors of 68694 are 2, 3, 107. Prime factorization of 68694 in exponential form is:
68694 = 21 × 31 × 1072
Prime Factorization of 68712
Prime factors of 68712 are 2, 3, 7, 409. Prime factorization of 68712 in exponential form is:
68712 = 23 × 31 × 71 × 4091
Now multiplying the highest exponent prime factors to calculate the LCM of 68694 and 68712.
LCM(68694,68712) = 23 × 31 × 1072 × 71 × 4091
LCM(68694,68712) = 786683688
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