What is the Least Common Multiple of 9450 and 9461?
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 9450 and 9461 is 89406450.
LCM(9450,9461) = 89406450
Least Common Multiple of 9450 and 9461 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9450 and 9461, than apply into the LCM equation.
GCF(9450,9461) = 1
LCM(9450,9461) = ( 9450 × 9461) / 1
LCM(9450,9461) = 89406450 / 1
LCM(9450,9461) = 89406450
Least Common Multiple (LCM) of 9450 and 9461 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 9450 and 9461. First we will calculate the prime factors of 9450 and 9461.
Prime Factorization of 9450
Prime factors of 9450 are 2, 3, 5, 7. Prime factorization of 9450 in exponential form is:
9450 = 21 × 33 × 52 × 71
Prime Factorization of 9461
Prime factors of 9461 are 9461. Prime factorization of 9461 in exponential form is:
9461 = 94611
Now multiplying the highest exponent prime factors to calculate the LCM of 9450 and 9461.
LCM(9450,9461) = 21 × 33 × 52 × 71 × 94611
LCM(9450,9461) = 89406450
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