What is the Least Common Multiple of 92050 and 92065?

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 92050 and 92065 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92050 and 92065, than apply into the LCM equation.

GCF(92050,92065) = 5
LCM(92050,92065) = ( 92050 × 92065) / 5
LCM(92050,92065) = 8474583250 / 5
LCM(92050,92065) = 1694916650

Least Common Multiple (LCM) of 92050 and 92065 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92050 and 92065. First we will calculate the prime factors of 92050 and 92065.

Prime Factorization of 92050

Prime Factorization of 92065

Now multiplying the highest exponent prime factors to calculate the LCM of 92050 and 92065.

LCM(92050,92065) = 2¹ × 5² × 7¹ × 263¹ × 18413¹
LCM(92050,92065) = 1694916650