What is the Least Common Multiple of 95521 and 95540?
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 95521 and 95540 is 9126076340.
LCM(95521,95540) = 9126076340
Least Common Multiple of 95521 and 95540 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95521 and 95540, than apply into the LCM equation.
GCF(95521,95540) = 1
LCM(95521,95540) = ( 95521 × 95540) / 1
LCM(95521,95540) = 9126076340 / 1
LCM(95521,95540) = 9126076340
Least Common Multiple (LCM) of 95521 and 95540 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 95521 and 95540. First we will calculate the prime factors of 95521 and 95540.
Prime Factorization of 95521
Prime factors of 95521 are 59, 1619. Prime factorization of 95521 in exponential form is:
95521 = 591 × 16191
Prime Factorization of 95540
Prime factors of 95540 are 2, 5, 17, 281. Prime factorization of 95540 in exponential form is:
95540 = 22 × 51 × 171 × 2811
Now multiplying the highest exponent prime factors to calculate the LCM of 95521 and 95540.
LCM(95521,95540) = 591 × 16191 × 22 × 51 × 171 × 2811
LCM(95521,95540) = 9126076340
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