What is the Least Common Multiple of 94927 and 94940?
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 94927 and 94940 is 9012369380.
LCM(94927,94940) = 9012369380
Least Common Multiple of 94927 and 94940 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94927 and 94940, than apply into the LCM equation.
GCF(94927,94940) = 1
LCM(94927,94940) = ( 94927 × 94940) / 1
LCM(94927,94940) = 9012369380 / 1
LCM(94927,94940) = 9012369380
Least Common Multiple (LCM) of 94927 and 94940 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94927 and 94940. First we will calculate the prime factors of 94927 and 94940.
Prime Factorization of 94927
Prime factors of 94927 are 7, 71, 191. Prime factorization of 94927 in exponential form is:
94927 = 71 × 711 × 1911
Prime Factorization of 94940
Prime factors of 94940 are 2, 5, 47, 101. Prime factorization of 94940 in exponential form is:
94940 = 22 × 51 × 471 × 1011
Now multiplying the highest exponent prime factors to calculate the LCM of 94927 and 94940.
LCM(94927,94940) = 71 × 711 × 1911 × 22 × 51 × 471 × 1011
LCM(94927,94940) = 9012369380
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