What is the Least Common Multiple of 92112 and 92123?

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 92112 and 92123 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92112 and 92123, than apply into the LCM equation.

GCF(92112,92123) = 1
LCM(92112,92123) = ( 92112 × 92123) / 1
LCM(92112,92123) = 8485633776 / 1
LCM(92112,92123) = 8485633776

Least Common Multiple (LCM) of 92112 and 92123 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92112 and 92123. First we will calculate the prime factors of 92112 and 92123.

Prime Factorization of 92112

Prime Factorization of 92123

Now multiplying the highest exponent prime factors to calculate the LCM of 92112 and 92123.

LCM(92112,92123) = 2⁴ × 3¹ × 19¹ × 101¹ × 17¹ × 5419¹
LCM(92112,92123) = 8485633776