What is the Least Common Multiple of 95501 and 95510?
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 95501 and 95510 is 9121300510.
LCM(95501,95510) = 9121300510
Least Common Multiple of 95501 and 95510 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95501 and 95510, than apply into the LCM equation.
GCF(95501,95510) = 1
LCM(95501,95510) = ( 95501 × 95510) / 1
LCM(95501,95510) = 9121300510 / 1
LCM(95501,95510) = 9121300510
Least Common Multiple (LCM) of 95501 and 95510 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 95501 and 95510. First we will calculate the prime factors of 95501 and 95510.
Prime Factorization of 95501
Prime factors of 95501 are 7, 1949. Prime factorization of 95501 in exponential form is:
95501 = 72 × 19491
Prime Factorization of 95510
Prime factors of 95510 are 2, 5, 9551. Prime factorization of 95510 in exponential form is:
95510 = 21 × 51 × 95511
Now multiplying the highest exponent prime factors to calculate the LCM of 95501 and 95510.
LCM(95501,95510) = 72 × 19491 × 21 × 51 × 95511
LCM(95501,95510) = 9121300510
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