What is the Least Common Multiple of 95634 and 95641?
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 95634 and 95641 is 1306647342.
LCM(95634,95641) = 1306647342
Least Common Multiple of 95634 and 95641 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95634 and 95641, than apply into the LCM equation.
GCF(95634,95641) = 7
LCM(95634,95641) = ( 95634 × 95641) / 7
LCM(95634,95641) = 9146531394 / 7
LCM(95634,95641) = 1306647342
Least Common Multiple (LCM) of 95634 and 95641 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 95634 and 95641. First we will calculate the prime factors of 95634 and 95641.
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
Prime Factorization of 95641
Prime factors of 95641 are 7, 13, 1051. Prime factorization of 95641 in exponential form is:
95641 = 71 × 131 × 10511
Now multiplying the highest exponent prime factors to calculate the LCM of 95634 and 95641.
LCM(95634,95641) = 21 × 33 × 71 × 111 × 231 × 131 × 10511
LCM(95634,95641) = 1306647342
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