What is the Least Common Multiple of 95243 and 95260?
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 95243 and 95260 is 9072848180.
LCM(95243,95260) = 9072848180
Least Common Multiple of 95243 and 95260 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95243 and 95260, than apply into the LCM equation.
GCF(95243,95260) = 1
LCM(95243,95260) = ( 95243 × 95260) / 1
LCM(95243,95260) = 9072848180 / 1
LCM(95243,95260) = 9072848180
Least Common Multiple (LCM) of 95243 and 95260 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 95243 and 95260. First we will calculate the prime factors of 95243 and 95260.
Prime Factorization of 95243
Prime factors of 95243 are 23, 41, 101. Prime factorization of 95243 in exponential form is:
95243 = 231 × 411 × 1011
Prime Factorization of 95260
Prime factors of 95260 are 2, 5, 11, 433. Prime factorization of 95260 in exponential form is:
95260 = 22 × 51 × 111 × 4331
Now multiplying the highest exponent prime factors to calculate the LCM of 95243 and 95260.
LCM(95243,95260) = 231 × 411 × 1011 × 22 × 51 × 111 × 4331
LCM(95243,95260) = 9072848180
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