What is the Least Common Multiple of 68737 and 68746?
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 68737 and 68746 is 4725393802.
LCM(68737,68746) = 4725393802
Least Common Multiple of 68737 and 68746 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68737 and 68746, than apply into the LCM equation.
GCF(68737,68746) = 1
LCM(68737,68746) = ( 68737 × 68746) / 1
LCM(68737,68746) = 4725393802 / 1
LCM(68737,68746) = 4725393802
Least Common Multiple (LCM) of 68737 and 68746 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 68737 and 68746. First we will calculate the prime factors of 68737 and 68746.
Prime Factorization of 68737
Prime factors of 68737 are 68737. Prime factorization of 68737 in exponential form is:
68737 = 687371
Prime Factorization of 68746
Prime factors of 68746 are 2, 37, 929. Prime factorization of 68746 in exponential form is:
68746 = 21 × 371 × 9291
Now multiplying the highest exponent prime factors to calculate the LCM of 68737 and 68746.
LCM(68737,68746) = 687371 × 21 × 371 × 9291
LCM(68737,68746) = 4725393802
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