What is the Least Common Multiple of 92040 and 92049?

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 92040 and 92049 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92040 and 92049, than apply into the LCM equation.

GCF(92040,92049) = 3
LCM(92040,92049) = ( 92040 × 92049) / 3
LCM(92040,92049) = 8472189960 / 3
LCM(92040,92049) = 2824063320

Least Common Multiple (LCM) of 92040 and 92049 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92040 and 92049. First we will calculate the prime factors of 92040 and 92049.

Prime Factorization of 92040

Prime Factorization of 92049

Now multiplying the highest exponent prime factors to calculate the LCM of 92040 and 92049.

LCM(92040,92049) = 2³ × 3¹ × 5¹ × 13¹ × 59¹ × 61¹ × 503¹
LCM(92040,92049) = 2824063320