What is the Least Common Multiple of 95802 and 95810?
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 95802 and 95810 is 4589394810.
LCM(95802,95810) = 4589394810
Least Common Multiple of 95802 and 95810 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95802 and 95810, than apply into the LCM equation.
GCF(95802,95810) = 2
LCM(95802,95810) = ( 95802 × 95810) / 2
LCM(95802,95810) = 9178789620 / 2
LCM(95802,95810) = 4589394810
Least Common Multiple (LCM) of 95802 and 95810 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 95802 and 95810. First we will calculate the prime factors of 95802 and 95810.
Prime Factorization of 95802
Prime factors of 95802 are 2, 3, 7, 2281. Prime factorization of 95802 in exponential form is:
95802 = 21 × 31 × 71 × 22811
Prime Factorization of 95810
Prime factors of 95810 are 2, 5, 11, 13, 67. Prime factorization of 95810 in exponential form is:
95810 = 21 × 51 × 111 × 131 × 671
Now multiplying the highest exponent prime factors to calculate the LCM of 95802 and 95810.
LCM(95802,95810) = 21 × 31 × 71 × 22811 × 51 × 111 × 131 × 671
LCM(95802,95810) = 4589394810
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