What is the Least Common Multiple of 95011 and 95026?
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 95011 and 95026 is 9028515286.
LCM(95011,95026) = 9028515286
Least Common Multiple of 95011 and 95026 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95011 and 95026, than apply into the LCM equation.
GCF(95011,95026) = 1
LCM(95011,95026) = ( 95011 × 95026) / 1
LCM(95011,95026) = 9028515286 / 1
LCM(95011,95026) = 9028515286
Least Common Multiple (LCM) of 95011 and 95026 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 95011 and 95026. First we will calculate the prime factors of 95011 and 95026.
Prime Factorization of 95011
Prime factors of 95011 are 7, 277. Prime factorization of 95011 in exponential form is:
95011 = 73 × 2771
Prime Factorization of 95026
Prime factors of 95026 are 2, 47513. Prime factorization of 95026 in exponential form is:
95026 = 21 × 475131
Now multiplying the highest exponent prime factors to calculate the LCM of 95011 and 95026.
LCM(95011,95026) = 73 × 2771 × 21 × 475131
LCM(95011,95026) = 9028515286
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