What is the Least Common Multiple of 68713 and 68718?
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 68713 and 68718 is 4721819934.
LCM(68713,68718) = 4721819934
Least Common Multiple of 68713 and 68718 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68713 and 68718, than apply into the LCM equation.
GCF(68713,68718) = 1
LCM(68713,68718) = ( 68713 × 68718) / 1
LCM(68713,68718) = 4721819934 / 1
LCM(68713,68718) = 4721819934
Least Common Multiple (LCM) of 68713 and 68718 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 68713 and 68718. First we will calculate the prime factors of 68713 and 68718.
Prime Factorization of 68713
Prime factors of 68713 are 68713. Prime factorization of 68713 in exponential form is:
68713 = 687131
Prime Factorization of 68718
Prime factors of 68718 are 2, 3, 13, 881. Prime factorization of 68718 in exponential form is:
68718 = 21 × 31 × 131 × 8811
Now multiplying the highest exponent prime factors to calculate the LCM of 68713 and 68718.
LCM(68713,68718) = 687131 × 21 × 31 × 131 × 8811
LCM(68713,68718) = 4721819934
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