What is the Least Common Multiple of 95430 and 95443?
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 95430 and 95443 is 9108125490.
LCM(95430,95443) = 9108125490
Least Common Multiple of 95430 and 95443 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95430 and 95443, than apply into the LCM equation.
GCF(95430,95443) = 1
LCM(95430,95443) = ( 95430 × 95443) / 1
LCM(95430,95443) = 9108125490 / 1
LCM(95430,95443) = 9108125490
Least Common Multiple (LCM) of 95430 and 95443 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 95430 and 95443. First we will calculate the prime factors of 95430 and 95443.
Prime Factorization of 95430
Prime factors of 95430 are 2, 3, 5, 3181. Prime factorization of 95430 in exponential form is:
95430 = 21 × 31 × 51 × 31811
Prime Factorization of 95443
Prime factors of 95443 are 95443. Prime factorization of 95443 in exponential form is:
95443 = 954431
Now multiplying the highest exponent prime factors to calculate the LCM of 95430 and 95443.
LCM(95430,95443) = 21 × 31 × 51 × 31811 × 954431
LCM(95430,95443) = 9108125490
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