What is the Least Common Multiple of 54285 and 54295?

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 54295 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 54295, than apply into the LCM equation.

GCF(54285,54295) = 5
LCM(54285,54295) = ( 54285 × 54295) / 5
LCM(54285,54295) = 2947404075 / 5
LCM(54285,54295) = 589480815

Least Common Multiple (LCM) of 54285 and 54295 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54285 and 54295. First we will calculate the prime factors of 54285 and 54295.

Prime Factorization of 54285

Prime Factorization of 54295

Now multiplying the highest exponent prime factors to calculate the LCM of 54285 and 54295.

LCM(54285,54295) = 3¹ × 5¹ × 7¹ × 11¹ × 47¹ × 10859¹
LCM(54285,54295) = 589480815