What is the Least Common Multiple of 68629 and 68638?
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 68629 and 68638 is 4710557302.
LCM(68629,68638) = 4710557302
Least Common Multiple of 68629 and 68638 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68629 and 68638, than apply into the LCM equation.
GCF(68629,68638) = 1
LCM(68629,68638) = ( 68629 × 68638) / 1
LCM(68629,68638) = 4710557302 / 1
LCM(68629,68638) = 4710557302
Least Common Multiple (LCM) of 68629 and 68638 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 68629 and 68638. First we will calculate the prime factors of 68629 and 68638.
Prime Factorization of 68629
Prime factors of 68629 are 11, 17, 367. Prime factorization of 68629 in exponential form is:
68629 = 111 × 171 × 3671
Prime Factorization of 68638
Prime factors of 68638 are 2, 34319. Prime factorization of 68638 in exponential form is:
68638 = 21 × 343191
Now multiplying the highest exponent prime factors to calculate the LCM of 68629 and 68638.
LCM(68629,68638) = 111 × 171 × 3671 × 21 × 343191
LCM(68629,68638) = 4710557302
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