What is the Least Common Multiple of 95626 and 95634?
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 95626 and 95634 is 4572548442.
LCM(95626,95634) = 4572548442
Least Common Multiple of 95626 and 95634 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95626 and 95634, than apply into the LCM equation.
GCF(95626,95634) = 2
LCM(95626,95634) = ( 95626 × 95634) / 2
LCM(95626,95634) = 9145096884 / 2
LCM(95626,95634) = 4572548442
Least Common Multiple (LCM) of 95626 and 95634 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 95626 and 95634. First we will calculate the prime factors of 95626 and 95634.
Prime Factorization of 95626
Prime factors of 95626 are 2, 137, 349. Prime factorization of 95626 in exponential form is:
95626 = 21 × 1371 × 3491
Prime Factorization of 95634
Prime factors of 95634 are 2, 3, 7, 11, 23. Prime factorization of 95634 in exponential form is:
95634 = 21 × 33 × 71 × 111 × 231
Now multiplying the highest exponent prime factors to calculate the LCM of 95626 and 95634.
LCM(95626,95634) = 21 × 1371 × 3491 × 33 × 71 × 111 × 231
LCM(95626,95634) = 4572548442
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