What is the Least Common Multiple of 54578 and 54587?
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 54578 and 54587 is 2979249286.
LCM(54578,54587) = 2979249286
Least Common Multiple of 54578 and 54587 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54578 and 54587, than apply into the LCM equation.
GCF(54578,54587) = 1
LCM(54578,54587) = ( 54578 × 54587) / 1
LCM(54578,54587) = 2979249286 / 1
LCM(54578,54587) = 2979249286
Least Common Multiple (LCM) of 54578 and 54587 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 54578 and 54587. First we will calculate the prime factors of 54578 and 54587.
Prime Factorization of 54578
Prime factors of 54578 are 2, 29, 941. Prime factorization of 54578 in exponential form is:
54578 = 21 × 291 × 9411
Prime Factorization of 54587
Prime factors of 54587 are 13, 17, 19. Prime factorization of 54587 in exponential form is:
54587 = 132 × 171 × 191
Now multiplying the highest exponent prime factors to calculate the LCM of 54578 and 54587.
LCM(54578,54587) = 21 × 291 × 9411 × 132 × 171 × 191
LCM(54578,54587) = 2979249286
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