What is the Least Common Multiple of 95492 and 95511?
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 95492 and 95511 is 9120536412.
LCM(95492,95511) = 9120536412
Least Common Multiple of 95492 and 95511 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95492 and 95511, than apply into the LCM equation.
GCF(95492,95511) = 1
LCM(95492,95511) = ( 95492 × 95511) / 1
LCM(95492,95511) = 9120536412 / 1
LCM(95492,95511) = 9120536412
Least Common Multiple (LCM) of 95492 and 95511 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 95492 and 95511. First we will calculate the prime factors of 95492 and 95511.
Prime Factorization of 95492
Prime factors of 95492 are 2, 23873. Prime factorization of 95492 in exponential form is:
95492 = 22 × 238731
Prime Factorization of 95511
Prime factors of 95511 are 3, 13, 31, 79. Prime factorization of 95511 in exponential form is:
95511 = 31 × 131 × 311 × 791
Now multiplying the highest exponent prime factors to calculate the LCM of 95492 and 95511.
LCM(95492,95511) = 22 × 238731 × 31 × 131 × 311 × 791
LCM(95492,95511) = 9120536412
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