What is the Least Common Multiple of 54285 and 54292?

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 54285 and 54292 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54285 and 54292, than apply into the LCM equation.

GCF(54285,54292) = 7
LCM(54285,54292) = ( 54285 × 54292) / 7
LCM(54285,54292) = 2947241220 / 7
LCM(54285,54292) = 421034460

Least Common Multiple (LCM) of 54285 and 54292 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54285 and 54292. First we will calculate the prime factors of 54285 and 54292.

Prime Factorization of 54285

Prime Factorization of 54292

Now multiplying the highest exponent prime factors to calculate the LCM of 54285 and 54292.

LCM(54285,54292) = 3¹ × 5¹ × 7² × 11¹ × 47¹ × 2² × 277¹
LCM(54285,54292) = 421034460