What is the Least Common Multiple of 92460 and 92469?

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 92460 and 92469 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92460 and 92469, than apply into the LCM equation.

GCF(92460,92469) = 3
LCM(92460,92469) = ( 92460 × 92469) / 3
LCM(92460,92469) = 8549683740 / 3
LCM(92460,92469) = 2849894580

Least Common Multiple (LCM) of 92460 and 92469 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92460 and 92469. First we will calculate the prime factors of 92460 and 92469.

Prime Factorization of 92460

Prime Factorization of 92469

Now multiplying the highest exponent prime factors to calculate the LCM of 92460 and 92469.

LCM(92460,92469) = 2² × 3¹ × 5¹ × 23¹ × 67¹ × 13¹ × 2371¹
LCM(92460,92469) = 2849894580