What is the Least Common Multiple of 95678 and 95686?
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 95678 and 95686 is 4577522554.
LCM(95678,95686) = 4577522554
Least Common Multiple of 95678 and 95686 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95678 and 95686, than apply into the LCM equation.
GCF(95678,95686) = 2
LCM(95678,95686) = ( 95678 × 95686) / 2
LCM(95678,95686) = 9155045108 / 2
LCM(95678,95686) = 4577522554
Least Common Multiple (LCM) of 95678 and 95686 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 95678 and 95686. First we will calculate the prime factors of 95678 and 95686.
Prime Factorization of 95678
Prime factors of 95678 are 2, 11, 4349. Prime factorization of 95678 in exponential form is:
95678 = 21 × 111 × 43491
Prime Factorization of 95686
Prime factors of 95686 are 2, 47843. Prime factorization of 95686 in exponential form is:
95686 = 21 × 478431
Now multiplying the highest exponent prime factors to calculate the LCM of 95678 and 95686.
LCM(95678,95686) = 21 × 111 × 43491 × 478431
LCM(95678,95686) = 4577522554
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