What is the Least Common Multiple of 92049 and 92055?

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 92049 and 92055 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92049 and 92055, than apply into the LCM equation.

GCF(92049,92055) = 3
LCM(92049,92055) = ( 92049 × 92055) / 3
LCM(92049,92055) = 8473570695 / 3
LCM(92049,92055) = 2824523565

Least Common Multiple (LCM) of 92049 and 92055 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92049 and 92055. First we will calculate the prime factors of 92049 and 92055.

Prime Factorization of 92049

Prime Factorization of 92055

Now multiplying the highest exponent prime factors to calculate the LCM of 92049 and 92055.

LCM(92049,92055) = 3¹ × 61¹ × 503¹ × 5¹ × 17¹ × 19²
LCM(92049,92055) = 2824523565