What is the Least Common Multiple of 92400 and 92412?

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 92400 and 92412 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92400 and 92412, than apply into the LCM equation.

GCF(92400,92412) = 12
LCM(92400,92412) = ( 92400 × 92412) / 12
LCM(92400,92412) = 8538868800 / 12
LCM(92400,92412) = 711572400

Least Common Multiple (LCM) of 92400 and 92412 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92400 and 92412. First we will calculate the prime factors of 92400 and 92412.

Prime Factorization of 92400

Prime Factorization of 92412

Now multiplying the highest exponent prime factors to calculate the LCM of 92400 and 92412.

LCM(92400,92412) = 2⁴ × 3² × 5² × 7¹ × 11¹ × 17¹ × 151¹
LCM(92400,92412) = 711572400