What is the Least Common Multiple of 57612 and 57623?
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 57612 and 57623 is 3319776276.
LCM(57612,57623) = 3319776276
Least Common Multiple of 57612 and 57623 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57612 and 57623, than apply into the LCM equation.
GCF(57612,57623) = 1
LCM(57612,57623) = ( 57612 × 57623) / 1
LCM(57612,57623) = 3319776276 / 1
LCM(57612,57623) = 3319776276
Least Common Multiple (LCM) of 57612 and 57623 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 57612 and 57623. First we will calculate the prime factors of 57612 and 57623.
Prime Factorization of 57612
Prime factors of 57612 are 2, 3, 4801. Prime factorization of 57612 in exponential form is:
57612 = 22 × 31 × 48011
Prime Factorization of 57623
Prime factors of 57623 are 29, 1987. Prime factorization of 57623 in exponential form is:
57623 = 291 × 19871
Now multiplying the highest exponent prime factors to calculate the LCM of 57612 and 57623.
LCM(57612,57623) = 22 × 31 × 48011 × 291 × 19871
LCM(57612,57623) = 3319776276
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