What is the Least Common Multiple of 57106 and 57123?
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 57106 and 57123 is 3262066038.
LCM(57106,57123) = 3262066038
Least Common Multiple of 57106 and 57123 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57106 and 57123, than apply into the LCM equation.
GCF(57106,57123) = 1
LCM(57106,57123) = ( 57106 × 57123) / 1
LCM(57106,57123) = 3262066038 / 1
LCM(57106,57123) = 3262066038
Least Common Multiple (LCM) of 57106 and 57123 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 57106 and 57123. First we will calculate the prime factors of 57106 and 57123.
Prime Factorization of 57106
Prime factors of 57106 are 2, 7, 4079. Prime factorization of 57106 in exponential form is:
57106 = 21 × 71 × 40791
Prime Factorization of 57123
Prime factors of 57123 are 3, 11, 577. Prime factorization of 57123 in exponential form is:
57123 = 32 × 111 × 5771
Now multiplying the highest exponent prime factors to calculate the LCM of 57106 and 57123.
LCM(57106,57123) = 21 × 71 × 40791 × 32 × 111 × 5771
LCM(57106,57123) = 3262066038
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