What is the Least Common Multiple of 91234 and 91249?

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 91234 and 91249 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91234 and 91249, than apply into the LCM equation.

GCF(91234,91249) = 1
LCM(91234,91249) = ( 91234 × 91249) / 1
LCM(91234,91249) = 8325011266 / 1
LCM(91234,91249) = 8325011266

Least Common Multiple (LCM) of 91234 and 91249 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91234 and 91249. First we will calculate the prime factors of 91234 and 91249.

Prime Factorization of 91234

Prime Factorization of 91249

Now multiplying the highest exponent prime factors to calculate the LCM of 91234 and 91249.

LCM(91234,91249) = 2¹ × 11² × 13¹ × 29¹ × 91249¹
LCM(91234,91249) = 8325011266