What is the Least Common Multiple of 95047 and 95060?
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 95047 and 95060 is 9035167820.
LCM(95047,95060) = 9035167820
Least Common Multiple of 95047 and 95060 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95047 and 95060, than apply into the LCM equation.
GCF(95047,95060) = 1
LCM(95047,95060) = ( 95047 × 95060) / 1
LCM(95047,95060) = 9035167820 / 1
LCM(95047,95060) = 9035167820
Least Common Multiple (LCM) of 95047 and 95060 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 95047 and 95060. First we will calculate the prime factors of 95047 and 95060.
Prime Factorization of 95047
Prime factors of 95047 are 17, 5591. Prime factorization of 95047 in exponential form is:
95047 = 171 × 55911
Prime Factorization of 95060
Prime factors of 95060 are 2, 5, 7, 97. Prime factorization of 95060 in exponential form is:
95060 = 22 × 51 × 72 × 971
Now multiplying the highest exponent prime factors to calculate the LCM of 95047 and 95060.
LCM(95047,95060) = 171 × 55911 × 22 × 51 × 72 × 971
LCM(95047,95060) = 9035167820
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