What is the Least Common Multiple of 92412 and 92432?

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 92412 and 92432 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92412 and 92432, than apply into the LCM equation.

GCF(92412,92432) = 4
LCM(92412,92432) = ( 92412 × 92432) / 4
LCM(92412,92432) = 8541825984 / 4
LCM(92412,92432) = 2135456496

Least Common Multiple (LCM) of 92412 and 92432 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92412 and 92432. First we will calculate the prime factors of 92412 and 92432.

Prime Factorization of 92412

Prime Factorization of 92432

Now multiplying the highest exponent prime factors to calculate the LCM of 92412 and 92432.

LCM(92412,92432) = 2⁴ × 3² × 17¹ × 151¹ × 53¹ × 109¹
LCM(92412,92432) = 2135456496