What is the Least Common Multiple of 95071 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 95071 and 95077 is 9039065467.
LCM(95071,95077) = 9039065467
Least Common Multiple of 95071 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 95071 and 95077, than apply into the LCM equation.
GCF(95071,95077) = 1
LCM(95071,95077) = ( 95071 × 95077) / 1
LCM(95071,95077) = 9039065467 / 1
LCM(95071,95077) = 9039065467
Least Common Multiple (LCM) of 95071 and 95077 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 95071 and 95077. First we will calculate the prime factors of 95071 and 95077.
Prime Factorization of 95071
Prime factors of 95071 are 95071. Prime factorization of 95071 in exponential form is:
95071 = 950711
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 95071 and 95077.
LCM(95071,95077) = 950711 × 311 × 30671
LCM(95071,95077) = 9039065467
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