What is the Least Common Multiple of 96761 and 96770?
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 96761 and 96770 is 9363561970.
LCM(96761,96770) = 9363561970
Least Common Multiple of 96761 and 96770 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96761 and 96770, than apply into the LCM equation.
GCF(96761,96770) = 1
LCM(96761,96770) = ( 96761 × 96770) / 1
LCM(96761,96770) = 9363561970 / 1
LCM(96761,96770) = 9363561970
Least Common Multiple (LCM) of 96761 and 96770 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 96761 and 96770. First we will calculate the prime factors of 96761 and 96770.
Prime Factorization of 96761
Prime factors of 96761 are 7, 23, 601. Prime factorization of 96761 in exponential form is:
96761 = 71 × 231 × 6011
Prime Factorization of 96770
Prime factors of 96770 are 2, 5, 9677. Prime factorization of 96770 in exponential form is:
96770 = 21 × 51 × 96771
Now multiplying the highest exponent prime factors to calculate the LCM of 96761 and 96770.
LCM(96761,96770) = 71 × 231 × 6011 × 21 × 51 × 96771
LCM(96761,96770) = 9363561970
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