What is the Least Common Multiple of 68782 and 68802?
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 68782 and 68802 is 2366169582.
LCM(68782,68802) = 2366169582
Least Common Multiple of 68782 and 68802 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68782 and 68802, than apply into the LCM equation.
GCF(68782,68802) = 2
LCM(68782,68802) = ( 68782 × 68802) / 2
LCM(68782,68802) = 4732339164 / 2
LCM(68782,68802) = 2366169582
Least Common Multiple (LCM) of 68782 and 68802 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 68782 and 68802. First we will calculate the prime factors of 68782 and 68802.
Prime Factorization of 68782
Prime factors of 68782 are 2, 7, 17. Prime factorization of 68782 in exponential form is:
68782 = 21 × 71 × 173
Prime Factorization of 68802
Prime factors of 68802 are 2, 3, 11467. Prime factorization of 68802 in exponential form is:
68802 = 21 × 31 × 114671
Now multiplying the highest exponent prime factors to calculate the LCM of 68782 and 68802.
LCM(68782,68802) = 21 × 71 × 173 × 31 × 114671
LCM(68782,68802) = 2366169582
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