What is the Least Common Multiple of 57747 and 57767?
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 57747 and 57767 is 3335870949.
LCM(57747,57767) = 3335870949
Least Common Multiple of 57747 and 57767 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57747 and 57767, than apply into the LCM equation.
GCF(57747,57767) = 1
LCM(57747,57767) = ( 57747 × 57767) / 1
LCM(57747,57767) = 3335870949 / 1
LCM(57747,57767) = 3335870949
Least Common Multiple (LCM) of 57747 and 57767 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 57747 and 57767. First we will calculate the prime factors of 57747 and 57767.
Prime Factorization of 57747
Prime factors of 57747 are 3, 19249. Prime factorization of 57747 in exponential form is:
57747 = 31 × 192491
Prime Factorization of 57767
Prime factors of 57767 are 61, 947. Prime factorization of 57767 in exponential form is:
57767 = 611 × 9471
Now multiplying the highest exponent prime factors to calculate the LCM of 57747 and 57767.
LCM(57747,57767) = 31 × 192491 × 611 × 9471
LCM(57747,57767) = 3335870949
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