What is the Least Common Multiple of 92290 and 92297?

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 of 92290 and 92297 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92290 and 92297, than apply into the LCM equation.

GCF(92290,92297) = 1
LCM(92290,92297) = ( 92290 × 92297) / 1
LCM(92290,92297) = 8518090130 / 1
LCM(92290,92297) = 8518090130

Least Common Multiple (LCM) of 92290 and 92297 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92290 and 92297. First we will calculate the prime factors of 92290 and 92297.

Prime Factorization of 92290

Prime Factorization of 92297

Now multiplying the highest exponent prime factors to calculate the LCM of 92290 and 92297.

LCM(92290,92297) = 2¹ × 5¹ × 11¹ × 839¹ × 92297¹
LCM(92290,92297) = 8518090130