What is the Least Common Multiple of 95609 and 95622?
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 95609 and 95622 is 9142323798.
LCM(95609,95622) = 9142323798
Least Common Multiple of 95609 and 95622 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95609 and 95622, than apply into the LCM equation.
GCF(95609,95622) = 1
LCM(95609,95622) = ( 95609 × 95622) / 1
LCM(95609,95622) = 9142323798 / 1
LCM(95609,95622) = 9142323798
Least Common Multiple (LCM) of 95609 and 95622 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 95609 and 95622. First we will calculate the prime factors of 95609 and 95622.
Prime Factorization of 95609
Prime factors of 95609 are 67, 1427. Prime factorization of 95609 in exponential form is:
95609 = 671 × 14271
Prime Factorization of 95622
Prime factors of 95622 are 2, 3, 15937. Prime factorization of 95622 in exponential form is:
95622 = 21 × 31 × 159371
Now multiplying the highest exponent prime factors to calculate the LCM of 95609 and 95622.
LCM(95609,95622) = 671 × 14271 × 21 × 31 × 159371
LCM(95609,95622) = 9142323798
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