What is the Least Common Multiple of 95079 and 95090?
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 95079 and 95090 is 9041062110.
LCM(95079,95090) = 9041062110
Least Common Multiple of 95079 and 95090 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95079 and 95090, than apply into the LCM equation.
GCF(95079,95090) = 1
LCM(95079,95090) = ( 95079 × 95090) / 1
LCM(95079,95090) = 9041062110 / 1
LCM(95079,95090) = 9041062110
Least Common Multiple (LCM) of 95079 and 95090 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 95079 and 95090. First we will calculate the prime factors of 95079 and 95090.
Prime Factorization of 95079
Prime factors of 95079 are 3, 41, 773. Prime factorization of 95079 in exponential form is:
95079 = 31 × 411 × 7731
Prime Factorization of 95090
Prime factors of 95090 are 2, 5, 37, 257. Prime factorization of 95090 in exponential form is:
95090 = 21 × 51 × 371 × 2571
Now multiplying the highest exponent prime factors to calculate the LCM of 95079 and 95090.
LCM(95079,95090) = 31 × 411 × 7731 × 21 × 51 × 371 × 2571
LCM(95079,95090) = 9041062110
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