What is the Least Common Multiple of 92434 and 92448?

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 92434 and 92448 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92434 and 92448, than apply into the LCM equation.

GCF(92434,92448) = 2
LCM(92434,92448) = ( 92434 × 92448) / 2
LCM(92434,92448) = 8545338432 / 2
LCM(92434,92448) = 4272669216

Least Common Multiple (LCM) of 92434 and 92448 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92434 and 92448. First we will calculate the prime factors of 92434 and 92448.

Prime Factorization of 92434

Prime Factorization of 92448

Now multiplying the highest exponent prime factors to calculate the LCM of 92434 and 92448.

LCM(92434,92448) = 2⁵ × 113¹ × 409¹ × 3³ × 107¹
LCM(92434,92448) = 4272669216