What is the Least Common Multiple of 54930 and 54945?

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 54930 and 54945 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54930 and 54945, than apply into the LCM equation.

GCF(54930,54945) = 15
LCM(54930,54945) = ( 54930 × 54945) / 15
LCM(54930,54945) = 3018128850 / 15
LCM(54930,54945) = 201208590

Least Common Multiple (LCM) of 54930 and 54945 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54930 and 54945. First we will calculate the prime factors of 54930 and 54945.

Prime Factorization of 54930

Prime Factorization of 54945

Now multiplying the highest exponent prime factors to calculate the LCM of 54930 and 54945.

LCM(54930,54945) = 2¹ × 3³ × 5¹ × 1831¹ × 11¹ × 37¹
LCM(54930,54945) = 201208590