GCF and LCM Calculator Logo

What is the Least Common Multiple of 9450 and 9462?

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 9462 is 14902650.

LCM(9450,9462) = 14902650

LCM Calculator and
and

Least Common Multiple of 9450 and 9462 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 9462, than apply into the LCM equation.

GCF(9450,9462) = 6
LCM(9450,9462) = ( 9450 × 9462) / 6
LCM(9450,9462) = 89415900 / 6
LCM(9450,9462) = 14902650

Least Common Multiple (LCM) of 9450 and 9462 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9450 and 9462. First we will calculate the prime factors of 9450 and 9462.

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 9462

Prime factors of 9462 are 2, 3, 19, 83. Prime factorization of 9462 in exponential form is:

9462 = 21 × 31 × 191 × 831

Now multiplying the highest exponent prime factors to calculate the LCM of 9450 and 9462.

LCM(9450,9462) = 21 × 33 × 52 × 71 × 191 × 831
LCM(9450,9462) = 14902650