What is the Least Common Multiple of 95630 and 95636?
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 95630 and 95636 is 4572835340.
LCM(95630,95636) = 4572835340
Least Common Multiple of 95630 and 95636 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95630 and 95636, than apply into the LCM equation.
GCF(95630,95636) = 2
LCM(95630,95636) = ( 95630 × 95636) / 2
LCM(95630,95636) = 9145670680 / 2
LCM(95630,95636) = 4572835340
Least Common Multiple (LCM) of 95630 and 95636 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 95630 and 95636. First we will calculate the prime factors of 95630 and 95636.
Prime Factorization of 95630
Prime factors of 95630 are 2, 5, 73, 131. Prime factorization of 95630 in exponential form is:
95630 = 21 × 51 × 731 × 1311
Prime Factorization of 95636
Prime factors of 95636 are 2, 23909. Prime factorization of 95636 in exponential form is:
95636 = 22 × 239091
Now multiplying the highest exponent prime factors to calculate the LCM of 95630 and 95636.
LCM(95630,95636) = 22 × 51 × 731 × 1311 × 239091
LCM(95630,95636) = 4572835340
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