What is the Least Common Multiple of 92500 and 92514?

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 92500 and 92514 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92500 and 92514, than apply into the LCM equation.

GCF(92500,92514) = 2
LCM(92500,92514) = ( 92500 × 92514) / 2
LCM(92500,92514) = 8557545000 / 2
LCM(92500,92514) = 4278772500

Least Common Multiple (LCM) of 92500 and 92514 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92500 and 92514. First we will calculate the prime factors of 92500 and 92514.

Prime Factorization of 92500

Prime Factorization of 92514

Now multiplying the highest exponent prime factors to calculate the LCM of 92500 and 92514.

LCM(92500,92514) = 2² × 5⁴ × 37¹ × 3¹ × 17¹ × 907¹
LCM(92500,92514) = 4278772500