What is the Least Common Multiple of 95245 and 95252?
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 95245 and 95252 is 9072276740.
LCM(95245,95252) = 9072276740
Least Common Multiple of 95245 and 95252 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95245 and 95252, than apply into the LCM equation.
GCF(95245,95252) = 1
LCM(95245,95252) = ( 95245 × 95252) / 1
LCM(95245,95252) = 9072276740 / 1
LCM(95245,95252) = 9072276740
Least Common Multiple (LCM) of 95245 and 95252 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 95245 and 95252. First we will calculate the prime factors of 95245 and 95252.
Prime Factorization of 95245
Prime factors of 95245 are 5, 43, 443. Prime factorization of 95245 in exponential form is:
95245 = 51 × 431 × 4431
Prime Factorization of 95252
Prime factors of 95252 are 2, 23813. Prime factorization of 95252 in exponential form is:
95252 = 22 × 238131
Now multiplying the highest exponent prime factors to calculate the LCM of 95245 and 95252.
LCM(95245,95252) = 51 × 431 × 4431 × 22 × 238131
LCM(95245,95252) = 9072276740
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