What is the Least Common Multiple of 56127 and 56147?
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 56127 and 56147 is 3151362669.
LCM(56127,56147) = 3151362669
Least Common Multiple of 56127 and 56147 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56127 and 56147, than apply into the LCM equation.
GCF(56127,56147) = 1
LCM(56127,56147) = ( 56127 × 56147) / 1
LCM(56127,56147) = 3151362669 / 1
LCM(56127,56147) = 3151362669
Least Common Multiple (LCM) of 56127 and 56147 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 56127 and 56147. First we will calculate the prime factors of 56127 and 56147.
Prime Factorization of 56127
Prime factors of 56127 are 3, 53, 353. Prime factorization of 56127 in exponential form is:
56127 = 31 × 531 × 3531
Prime Factorization of 56147
Prime factors of 56147 are 7, 13, 617. Prime factorization of 56147 in exponential form is:
56147 = 71 × 131 × 6171
Now multiplying the highest exponent prime factors to calculate the LCM of 56127 and 56147.
LCM(56127,56147) = 31 × 531 × 3531 × 71 × 131 × 6171
LCM(56127,56147) = 3151362669
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