What is the Least Common Multiple of 95555 and 95570?
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 95555 and 95570 is 1826438270.
LCM(95555,95570) = 1826438270
Least Common Multiple of 95555 and 95570 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95555 and 95570, than apply into the LCM equation.
GCF(95555,95570) = 5
LCM(95555,95570) = ( 95555 × 95570) / 5
LCM(95555,95570) = 9132191350 / 5
LCM(95555,95570) = 1826438270
Least Common Multiple (LCM) of 95555 and 95570 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 95555 and 95570. First we will calculate the prime factors of 95555 and 95570.
Prime Factorization of 95555
Prime factors of 95555 are 5, 29, 659. Prime factorization of 95555 in exponential form is:
95555 = 51 × 291 × 6591
Prime Factorization of 95570
Prime factors of 95570 are 2, 5, 19, 503. Prime factorization of 95570 in exponential form is:
95570 = 21 × 51 × 191 × 5031
Now multiplying the highest exponent prime factors to calculate the LCM of 95555 and 95570.
LCM(95555,95570) = 51 × 291 × 6591 × 21 × 191 × 5031
LCM(95555,95570) = 1826438270
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