What is the Least Common Multiple of 68714 and 68725?
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 68714 and 68725 is 4722369650.
LCM(68714,68725) = 4722369650
Least Common Multiple of 68714 and 68725 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68714 and 68725, than apply into the LCM equation.
GCF(68714,68725) = 1
LCM(68714,68725) = ( 68714 × 68725) / 1
LCM(68714,68725) = 4722369650 / 1
LCM(68714,68725) = 4722369650
Least Common Multiple (LCM) of 68714 and 68725 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 68714 and 68725. First we will calculate the prime factors of 68714 and 68725.
Prime Factorization of 68714
Prime factors of 68714 are 2, 17, 43, 47. Prime factorization of 68714 in exponential form is:
68714 = 21 × 171 × 431 × 471
Prime Factorization of 68725
Prime factors of 68725 are 5, 2749. Prime factorization of 68725 in exponential form is:
68725 = 52 × 27491
Now multiplying the highest exponent prime factors to calculate the LCM of 68714 and 68725.
LCM(68714,68725) = 21 × 171 × 431 × 471 × 52 × 27491
LCM(68714,68725) = 4722369650
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