What is the Least Common Multiple of 92112 and 92121?

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 92121 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 92121, than apply into the LCM equation.

GCF(92112,92121) = 3
LCM(92112,92121) = ( 92112 × 92121) / 3
LCM(92112,92121) = 8485449552 / 3
LCM(92112,92121) = 2828483184

Least Common Multiple (LCM) of 92112 and 92121 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92112 and 92121. First we will calculate the prime factors of 92112 and 92121.

Prime Factorization of 92112

Prime Factorization of 92121

Now multiplying the highest exponent prime factors to calculate the LCM of 92112 and 92121.

LCM(92112,92121) = 2⁴ × 3¹ × 19¹ × 101¹ × 30707¹
LCM(92112,92121) = 2828483184