What is the Least Common Multiple of 92241 and 92249?

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 92241 and 92249 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92241 and 92249, than apply into the LCM equation.

GCF(92241,92249) = 1
LCM(92241,92249) = ( 92241 × 92249) / 1
LCM(92241,92249) = 8509140009 / 1
LCM(92241,92249) = 8509140009

Least Common Multiple (LCM) of 92241 and 92249 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92241 and 92249. First we will calculate the prime factors of 92241 and 92249.

Prime Factorization of 92241

Prime Factorization of 92249

Now multiplying the highest exponent prime factors to calculate the LCM of 92241 and 92249.

LCM(92241,92249) = 3² × 37¹ × 277¹ × 29¹ × 3181¹
LCM(92241,92249) = 8509140009