What is the Least Common Multiple of 95069 and 95077?
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 95069 and 95077 is 9038875313.
LCM(95069,95077) = 9038875313
Least Common Multiple of 95069 and 95077 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95069 and 95077, than apply into the LCM equation.
GCF(95069,95077) = 1
LCM(95069,95077) = ( 95069 × 95077) / 1
LCM(95069,95077) = 9038875313 / 1
LCM(95069,95077) = 9038875313
Least Common Multiple (LCM) of 95069 and 95077 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 95069 and 95077. First we will calculate the prime factors of 95069 and 95077.
Prime Factorization of 95069
Prime factors of 95069 are 13, 71, 103. Prime factorization of 95069 in exponential form is:
95069 = 131 × 711 × 1031
Prime Factorization of 95077
Prime factors of 95077 are 31, 3067. Prime factorization of 95077 in exponential form is:
95077 = 311 × 30671
Now multiplying the highest exponent prime factors to calculate the LCM of 95069 and 95077.
LCM(95069,95077) = 131 × 711 × 1031 × 311 × 30671
LCM(95069,95077) = 9038875313
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