What is the Least Common Multiple of 92050 and 92063?

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 92063 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 92063, than apply into the LCM equation.

GCF(92050,92063) = 1
LCM(92050,92063) = ( 92050 × 92063) / 1
LCM(92050,92063) = 8474399150 / 1
LCM(92050,92063) = 8474399150

Least Common Multiple (LCM) of 92050 and 92063 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92050 and 92063. First we will calculate the prime factors of 92050 and 92063.

Prime Factorization of 92050

Prime Factorization of 92063

Now multiplying the highest exponent prime factors to calculate the LCM of 92050 and 92063.

LCM(92050,92063) = 2¹ × 5² × 7¹ × 263¹ × 43¹ × 2141¹
LCM(92050,92063) = 8474399150