What is the Least Common Multiple of 95727 and 95739?
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 95727 and 95739 is 3054935751.
LCM(95727,95739) = 3054935751
Least Common Multiple of 95727 and 95739 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95727 and 95739, than apply into the LCM equation.
GCF(95727,95739) = 3
LCM(95727,95739) = ( 95727 × 95739) / 3
LCM(95727,95739) = 9164807253 / 3
LCM(95727,95739) = 3054935751
Least Common Multiple (LCM) of 95727 and 95739 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 95727 and 95739. First we will calculate the prime factors of 95727 and 95739.
Prime Factorization of 95727
Prime factors of 95727 are 3, 17, 1877. Prime factorization of 95727 in exponential form is:
95727 = 31 × 171 × 18771
Prime Factorization of 95739
Prime factors of 95739 are 3, 7, 47, 97. Prime factorization of 95739 in exponential form is:
95739 = 31 × 71 × 471 × 971
Now multiplying the highest exponent prime factors to calculate the LCM of 95727 and 95739.
LCM(95727,95739) = 31 × 171 × 18771 × 71 × 471 × 971
LCM(95727,95739) = 3054935751
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