What is the Least Common Multiple of 92240 and 92254?

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 92240 and 92254 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92240 and 92254, than apply into the LCM equation.

GCF(92240,92254) = 2
LCM(92240,92254) = ( 92240 × 92254) / 2
LCM(92240,92254) = 8509508960 / 2
LCM(92240,92254) = 4254754480

Least Common Multiple (LCM) of 92240 and 92254 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92240 and 92254. First we will calculate the prime factors of 92240 and 92254.

Prime Factorization of 92240

Prime Factorization of 92254

Now multiplying the highest exponent prime factors to calculate the LCM of 92240 and 92254.

LCM(92240,92254) = 2⁴ × 5¹ × 1153¹ × 193¹ × 239¹
LCM(92240,92254) = 4254754480