What is the Least Common Multiple of 95662 and 95679?
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 95662 and 95679 is 9152844498.
LCM(95662,95679) = 9152844498
Least Common Multiple of 95662 and 95679 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95662 and 95679, than apply into the LCM equation.
GCF(95662,95679) = 1
LCM(95662,95679) = ( 95662 × 95679) / 1
LCM(95662,95679) = 9152844498 / 1
LCM(95662,95679) = 9152844498
Least Common Multiple (LCM) of 95662 and 95679 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 95662 and 95679. First we will calculate the prime factors of 95662 and 95679.
Prime Factorization of 95662
Prime factors of 95662 are 2, 7, 6833. Prime factorization of 95662 in exponential form is:
95662 = 21 × 71 × 68331
Prime Factorization of 95679
Prime factors of 95679 are 3, 10631. Prime factorization of 95679 in exponential form is:
95679 = 32 × 106311
Now multiplying the highest exponent prime factors to calculate the LCM of 95662 and 95679.
LCM(95662,95679) = 21 × 71 × 68331 × 32 × 106311
LCM(95662,95679) = 9152844498
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