GCF and LCM Calculator Logo

What is the Least Common Multiple of 92562 and 92575?

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 92562 and 92575 is 8568927150.

LCM(92562,92575) = 8568927150

LCM Calculator and
and

Least Common Multiple of 92562 and 92575 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92562 and 92575, than apply into the LCM equation.

GCF(92562,92575) = 1
LCM(92562,92575) = ( 92562 × 92575) / 1
LCM(92562,92575) = 8568927150 / 1
LCM(92562,92575) = 8568927150

Least Common Multiple (LCM) of 92562 and 92575 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92562 and 92575. First we will calculate the prime factors of 92562 and 92575.

Prime Factorization of 92562

Prime factors of 92562 are 2, 3, 15427. Prime factorization of 92562 in exponential form is:

92562 = 21 × 31 × 154271

Prime Factorization of 92575

Prime factors of 92575 are 5, 7, 23. Prime factorization of 92575 in exponential form is:

92575 = 52 × 71 × 232

Now multiplying the highest exponent prime factors to calculate the LCM of 92562 and 92575.

LCM(92562,92575) = 21 × 31 × 154271 × 52 × 71 × 232
LCM(92562,92575) = 8568927150