GCF and LCM Calculator Logo

What is the Least Common Multiple of 97921 and 97935?

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 97921 and 97935 is 9589893135.

LCM(97921,97935) = 9589893135

LCM Calculator and
and

Least Common Multiple of 97921 and 97935 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97921 and 97935, than apply into the LCM equation.

GCF(97921,97935) = 1
LCM(97921,97935) = ( 97921 × 97935) / 1
LCM(97921,97935) = 9589893135 / 1
LCM(97921,97935) = 9589893135

Least Common Multiple (LCM) of 97921 and 97935 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97921 and 97935. First we will calculate the prime factors of 97921 and 97935.

Prime Factorization of 97921

Prime factors of 97921 are 181, 541. Prime factorization of 97921 in exponential form is:

97921 = 1811 × 5411

Prime Factorization of 97935

Prime factors of 97935 are 3, 5, 6529. Prime factorization of 97935 in exponential form is:

97935 = 31 × 51 × 65291

Now multiplying the highest exponent prime factors to calculate the LCM of 97921 and 97935.

LCM(97921,97935) = 1811 × 5411 × 31 × 51 × 65291
LCM(97921,97935) = 9589893135