What is the Least Common Multiple of 95928 and 95939?
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 95928 and 95939 is 9203236392.
LCM(95928,95939) = 9203236392
Least Common Multiple of 95928 and 95939 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95928 and 95939, than apply into the LCM equation.
GCF(95928,95939) = 1
LCM(95928,95939) = ( 95928 × 95939) / 1
LCM(95928,95939) = 9203236392 / 1
LCM(95928,95939) = 9203236392
Least Common Multiple (LCM) of 95928 and 95939 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 95928 and 95939. First we will calculate the prime factors of 95928 and 95939.
Prime Factorization of 95928
Prime factors of 95928 are 2, 3, 7, 571. Prime factorization of 95928 in exponential form is:
95928 = 23 × 31 × 71 × 5711
Prime Factorization of 95939
Prime factors of 95939 are 197, 487. Prime factorization of 95939 in exponential form is:
95939 = 1971 × 4871
Now multiplying the highest exponent prime factors to calculate the LCM of 95928 and 95939.
LCM(95928,95939) = 23 × 31 × 71 × 5711 × 1971 × 4871
LCM(95928,95939) = 9203236392
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