What is the Least Common Multiple of 92448 and 92460?

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 92448 and 92460 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92448 and 92460, than apply into the LCM equation.

GCF(92448,92460) = 12
LCM(92448,92460) = ( 92448 × 92460) / 12
LCM(92448,92460) = 8547742080 / 12
LCM(92448,92460) = 712311840

Least Common Multiple (LCM) of 92448 and 92460 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92448 and 92460. First we will calculate the prime factors of 92448 and 92460.

Prime Factorization of 92448

Prime Factorization of 92460

Now multiplying the highest exponent prime factors to calculate the LCM of 92448 and 92460.

LCM(92448,92460) = 2⁵ × 3³ × 107¹ × 5¹ × 23¹ × 67¹
LCM(92448,92460) = 712311840