What is the Least Common Multiple of 96047 and 96067?
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 96047 and 96067 is 9226947149.
LCM(96047,96067) = 9226947149
Least Common Multiple of 96047 and 96067 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96047 and 96067, than apply into the LCM equation.
GCF(96047,96067) = 1
LCM(96047,96067) = ( 96047 × 96067) / 1
LCM(96047,96067) = 9226947149 / 1
LCM(96047,96067) = 9226947149
Least Common Multiple (LCM) of 96047 and 96067 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 96047 and 96067. First we will calculate the prime factors of 96047 and 96067.
Prime Factorization of 96047
Prime factors of 96047 are 7, 13721. Prime factorization of 96047 in exponential form is:
96047 = 71 × 137211
Prime Factorization of 96067
Prime factors of 96067 are 17, 5651. Prime factorization of 96067 in exponential form is:
96067 = 171 × 56511
Now multiplying the highest exponent prime factors to calculate the LCM of 96047 and 96067.
LCM(96047,96067) = 71 × 137211 × 171 × 56511
LCM(96047,96067) = 9226947149
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