What is the Least Common Multiple of 95066 and 95075?
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 95066 and 95075 is 9038399950.
LCM(95066,95075) = 9038399950
Least Common Multiple of 95066 and 95075 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95066 and 95075, than apply into the LCM equation.
GCF(95066,95075) = 1
LCM(95066,95075) = ( 95066 × 95075) / 1
LCM(95066,95075) = 9038399950 / 1
LCM(95066,95075) = 9038399950
Least Common Multiple (LCM) of 95066 and 95075 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 95066 and 95075. First we will calculate the prime factors of 95066 and 95075.
Prime Factorization of 95066
Prime factors of 95066 are 2, 47533. Prime factorization of 95066 in exponential form is:
95066 = 21 × 475331
Prime Factorization of 95075
Prime factors of 95075 are 5, 3803. Prime factorization of 95075 in exponential form is:
95075 = 52 × 38031
Now multiplying the highest exponent prime factors to calculate the LCM of 95066 and 95075.
LCM(95066,95075) = 21 × 475331 × 52 × 38031
LCM(95066,95075) = 9038399950
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