What is the Least Common Multiple of 96242 and 96246?
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 96242 and 96246 is 4631453766.
LCM(96242,96246) = 4631453766
Least Common Multiple of 96242 and 96246 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96242 and 96246, than apply into the LCM equation.
GCF(96242,96246) = 2
LCM(96242,96246) = ( 96242 × 96246) / 2
LCM(96242,96246) = 9262907532 / 2
LCM(96242,96246) = 4631453766
Least Common Multiple (LCM) of 96242 and 96246 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 96242 and 96246. First we will calculate the prime factors of 96242 and 96246.
Prime Factorization of 96242
Prime factors of 96242 are 2, 48121. Prime factorization of 96242 in exponential form is:
96242 = 21 × 481211
Prime Factorization of 96246
Prime factors of 96246 are 2, 3, 5347. Prime factorization of 96246 in exponential form is:
96246 = 21 × 32 × 53471
Now multiplying the highest exponent prime factors to calculate the LCM of 96242 and 96246.
LCM(96242,96246) = 21 × 481211 × 32 × 53471
LCM(96242,96246) = 4631453766
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