What is the Least Common Multiple of 71640 and 71654?
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 71640 and 71654 is 2566646280.
LCM(71640,71654) = 2566646280
Least Common Multiple of 71640 and 71654 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71640 and 71654, than apply into the LCM equation.
GCF(71640,71654) = 2
LCM(71640,71654) = ( 71640 × 71654) / 2
LCM(71640,71654) = 5133292560 / 2
LCM(71640,71654) = 2566646280
Least Common Multiple (LCM) of 71640 and 71654 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 71640 and 71654. First we will calculate the prime factors of 71640 and 71654.
Prime Factorization of 71640
Prime factors of 71640 are 2, 3, 5, 199. Prime factorization of 71640 in exponential form is:
71640 = 23 × 32 × 51 × 1991
Prime Factorization of 71654
Prime factors of 71654 are 2, 11, 3257. Prime factorization of 71654 in exponential form is:
71654 = 21 × 111 × 32571
Now multiplying the highest exponent prime factors to calculate the LCM of 71640 and 71654.
LCM(71640,71654) = 23 × 32 × 51 × 1991 × 111 × 32571
LCM(71640,71654) = 2566646280
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