GCF and LCM Calculator Logo

What is the Least Common Multiple of 93417 and 93434?

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 93417 and 93434 is 8728323978.

LCM(93417,93434) = 8728323978

LCM Calculator and
and

Least Common Multiple of 93417 and 93434 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93417 and 93434, than apply into the LCM equation.

GCF(93417,93434) = 1
LCM(93417,93434) = ( 93417 × 93434) / 1
LCM(93417,93434) = 8728323978 / 1
LCM(93417,93434) = 8728323978

Least Common Multiple (LCM) of 93417 and 93434 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93417 and 93434. First we will calculate the prime factors of 93417 and 93434.

Prime Factorization of 93417

Prime factors of 93417 are 3, 31139. Prime factorization of 93417 in exponential form is:

93417 = 31 × 311391

Prime Factorization of 93434

Prime factors of 93434 are 2, 11, 31, 137. Prime factorization of 93434 in exponential form is:

93434 = 21 × 111 × 311 × 1371

Now multiplying the highest exponent prime factors to calculate the LCM of 93417 and 93434.

LCM(93417,93434) = 31 × 311391 × 21 × 111 × 311 × 1371
LCM(93417,93434) = 8728323978