What is the Least Common Multiple of 68616 and 68623?
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 68616 and 68623 is 4708635768.
LCM(68616,68623) = 4708635768
Least Common Multiple of 68616 and 68623 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68616 and 68623, than apply into the LCM equation.
GCF(68616,68623) = 1
LCM(68616,68623) = ( 68616 × 68623) / 1
LCM(68616,68623) = 4708635768 / 1
LCM(68616,68623) = 4708635768
Least Common Multiple (LCM) of 68616 and 68623 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 68616 and 68623. First we will calculate the prime factors of 68616 and 68623.
Prime Factorization of 68616
Prime factors of 68616 are 2, 3, 953. Prime factorization of 68616 in exponential form is:
68616 = 23 × 32 × 9531
Prime Factorization of 68623
Prime factors of 68623 are 163, 421. Prime factorization of 68623 in exponential form is:
68623 = 1631 × 4211
Now multiplying the highest exponent prime factors to calculate the LCM of 68616 and 68623.
LCM(68616,68623) = 23 × 32 × 9531 × 1631 × 4211
LCM(68616,68623) = 4708635768
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