What is the Least Common Multiple of 54945 and 54954?

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 54945 and 54954 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54945 and 54954, than apply into the LCM equation.

GCF(54945,54954) = 9
LCM(54945,54954) = ( 54945 × 54954) / 9
LCM(54945,54954) = 3019447530 / 9
LCM(54945,54954) = 335494170

Least Common Multiple (LCM) of 54945 and 54954 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54945 and 54954. First we will calculate the prime factors of 54945 and 54954.

Prime Factorization of 54945

Prime Factorization of 54954

Now multiplying the highest exponent prime factors to calculate the LCM of 54945 and 54954.

LCM(54945,54954) = 3³ × 5¹ × 11¹ × 37¹ × 2¹ × 43¹ × 71¹
LCM(54945,54954) = 335494170