GCF and LCM Calculator Logo

What is the Least Common Multiple of 97457 and 97466?

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 97457 and 97466 is 9498743962.

LCM(97457,97466) = 9498743962

LCM Calculator and
and

Least Common Multiple of 97457 and 97466 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97457 and 97466, than apply into the LCM equation.

GCF(97457,97466) = 1
LCM(97457,97466) = ( 97457 × 97466) / 1
LCM(97457,97466) = 9498743962 / 1
LCM(97457,97466) = 9498743962

Least Common Multiple (LCM) of 97457 and 97466 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97457 and 97466. First we will calculate the prime factors of 97457 and 97466.

Prime Factorization of 97457

Prime factors of 97457 are 41, 2377. Prime factorization of 97457 in exponential form is:

97457 = 411 × 23771

Prime Factorization of 97466

Prime factors of 97466 are 2, 48733. Prime factorization of 97466 in exponential form is:

97466 = 21 × 487331

Now multiplying the highest exponent prime factors to calculate the LCM of 97457 and 97466.

LCM(97457,97466) = 411 × 23771 × 21 × 487331
LCM(97457,97466) = 9498743962