What is the Least Common Multiple of 54030 and 54042?

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 54030 and 54042 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54030 and 54042, than apply into the LCM equation.

GCF(54030,54042) = 6
LCM(54030,54042) = ( 54030 × 54042) / 6
LCM(54030,54042) = 2919889260 / 6
LCM(54030,54042) = 486648210

Least Common Multiple (LCM) of 54030 and 54042 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54030 and 54042. First we will calculate the prime factors of 54030 and 54042.

Prime Factorization of 54030

Prime Factorization of 54042

Now multiplying the highest exponent prime factors to calculate the LCM of 54030 and 54042.

LCM(54030,54042) = 2¹ × 3¹ × 5¹ × 1801¹ × 9007¹
LCM(54030,54042) = 486648210