What is the Least Common Multiple of 84045 and 84054?

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 84045 and 84054 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84045 and 84054, than apply into the LCM equation.

GCF(84045,84054) = 3
LCM(84045,84054) = ( 84045 × 84054) / 3
LCM(84045,84054) = 7064318430 / 3
LCM(84045,84054) = 2354772810

Least Common Multiple (LCM) of 84045 and 84054 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84045 and 84054. First we will calculate the prime factors of 84045 and 84054.

Prime Factorization of 84045

Prime Factorization of 84054

Now multiplying the highest exponent prime factors to calculate the LCM of 84045 and 84054.

LCM(84045,84054) = 3¹ × 5¹ × 13¹ × 431¹ × 2¹ × 14009¹
LCM(84045,84054) = 2354772810