What is the Least Common Multiple of 96980 and 96989?
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 96980 and 96989 is 9405993220.
LCM(96980,96989) = 9405993220
Least Common Multiple of 96980 and 96989 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96980 and 96989, than apply into the LCM equation.
GCF(96980,96989) = 1
LCM(96980,96989) = ( 96980 × 96989) / 1
LCM(96980,96989) = 9405993220 / 1
LCM(96980,96989) = 9405993220
Least Common Multiple (LCM) of 96980 and 96989 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 96980 and 96989. First we will calculate the prime factors of 96980 and 96989.
Prime Factorization of 96980
Prime factors of 96980 are 2, 5, 13, 373. Prime factorization of 96980 in exponential form is:
96980 = 22 × 51 × 131 × 3731
Prime Factorization of 96989
Prime factors of 96989 are 96989. Prime factorization of 96989 in exponential form is:
96989 = 969891
Now multiplying the highest exponent prime factors to calculate the LCM of 96980 and 96989.
LCM(96980,96989) = 22 × 51 × 131 × 3731 × 969891
LCM(96980,96989) = 9405993220
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