What is the Least Common Multiple of 60623 and 60627?
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 60623 and 60627 is 3675390621.
LCM(60623,60627) = 3675390621
Least Common Multiple of 60623 and 60627 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60623 and 60627, than apply into the LCM equation.
GCF(60623,60627) = 1
LCM(60623,60627) = ( 60623 × 60627) / 1
LCM(60623,60627) = 3675390621 / 1
LCM(60623,60627) = 3675390621
Least Common Multiple (LCM) of 60623 and 60627 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 60623 and 60627. First we will calculate the prime factors of 60623 and 60627.
Prime Factorization of 60623
Prime factors of 60623 are 60623. Prime factorization of 60623 in exponential form is:
60623 = 606231
Prime Factorization of 60627
Prime factors of 60627 are 3, 7, 2887. Prime factorization of 60627 in exponential form is:
60627 = 31 × 71 × 28871
Now multiplying the highest exponent prime factors to calculate the LCM of 60623 and 60627.
LCM(60623,60627) = 606231 × 31 × 71 × 28871
LCM(60623,60627) = 3675390621
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