What is the Least Common Multiple of 95761 and 95766?
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 95761 and 95766 is 9170647926.
LCM(95761,95766) = 9170647926
Least Common Multiple of 95761 and 95766 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95761 and 95766, than apply into the LCM equation.
GCF(95761,95766) = 1
LCM(95761,95766) = ( 95761 × 95766) / 1
LCM(95761,95766) = 9170647926 / 1
LCM(95761,95766) = 9170647926
Least Common Multiple (LCM) of 95761 and 95766 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 95761 and 95766. First we will calculate the prime factors of 95761 and 95766.
Prime Factorization of 95761
Prime factors of 95761 are 17, 43, 131. Prime factorization of 95761 in exponential form is:
95761 = 171 × 431 × 1311
Prime Factorization of 95766
Prime factors of 95766 are 2, 3, 11, 1451. Prime factorization of 95766 in exponential form is:
95766 = 21 × 31 × 111 × 14511
Now multiplying the highest exponent prime factors to calculate the LCM of 95761 and 95766.
LCM(95761,95766) = 171 × 431 × 1311 × 21 × 31 × 111 × 14511
LCM(95761,95766) = 9170647926
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