What is the Least Common Multiple of 27610 and 27629?
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 27610 and 27629 is 762836690.
LCM(27610,27629) = 762836690
Least Common Multiple of 27610 and 27629 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27610 and 27629, than apply into the LCM equation.
GCF(27610,27629) = 1
LCM(27610,27629) = ( 27610 × 27629) / 1
LCM(27610,27629) = 762836690 / 1
LCM(27610,27629) = 762836690
Least Common Multiple (LCM) of 27610 and 27629 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 27610 and 27629. First we will calculate the prime factors of 27610 and 27629.
Prime Factorization of 27610
Prime factors of 27610 are 2, 5, 11, 251. Prime factorization of 27610 in exponential form is:
27610 = 21 × 51 × 111 × 2511
Prime Factorization of 27629
Prime factors of 27629 are 7, 3947. Prime factorization of 27629 in exponential form is:
27629 = 71 × 39471
Now multiplying the highest exponent prime factors to calculate the LCM of 27610 and 27629.
LCM(27610,27629) = 21 × 51 × 111 × 2511 × 71 × 39471
LCM(27610,27629) = 762836690
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