What is the Least Common Multiple of 92454 and 92473?

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 92454 and 92473 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92454 and 92473, than apply into the LCM equation.

GCF(92454,92473) = 19
LCM(92454,92473) = ( 92454 × 92473) / 19
LCM(92454,92473) = 8549498742 / 19
LCM(92454,92473) = 449973618

Least Common Multiple (LCM) of 92454 and 92473 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92454 and 92473. First we will calculate the prime factors of 92454 and 92473.

Prime Factorization of 92454

Prime Factorization of 92473

Now multiplying the highest exponent prime factors to calculate the LCM of 92454 and 92473.

LCM(92454,92473) = 2¹ × 3¹ × 19¹ × 811¹ × 31¹ × 157¹
LCM(92454,92473) = 449973618