What is the Least Common Multiple of 95235 and 95245?
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 95235 and 95245 is 1814131515.
LCM(95235,95245) = 1814131515
Least Common Multiple of 95235 and 95245 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95235 and 95245, than apply into the LCM equation.
GCF(95235,95245) = 5
LCM(95235,95245) = ( 95235 × 95245) / 5
LCM(95235,95245) = 9070657575 / 5
LCM(95235,95245) = 1814131515
Least Common Multiple (LCM) of 95235 and 95245 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 95235 and 95245. First we will calculate the prime factors of 95235 and 95245.
Prime Factorization of 95235
Prime factors of 95235 are 3, 5, 7, 907. Prime factorization of 95235 in exponential form is:
95235 = 31 × 51 × 71 × 9071
Prime Factorization of 95245
Prime factors of 95245 are 5, 43, 443. Prime factorization of 95245 in exponential form is:
95245 = 51 × 431 × 4431
Now multiplying the highest exponent prime factors to calculate the LCM of 95235 and 95245.
LCM(95235,95245) = 31 × 51 × 71 × 9071 × 431 × 4431
LCM(95235,95245) = 1814131515
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