What is the Least Common Multiple of 84054 and 84064?

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 84054 and 84064 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84054 and 84064, than apply into the LCM equation.

GCF(84054,84064) = 2
LCM(84054,84064) = ( 84054 × 84064) / 2
LCM(84054,84064) = 7065915456 / 2
LCM(84054,84064) = 3532957728

Least Common Multiple (LCM) of 84054 and 84064 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84054 and 84064. First we will calculate the prime factors of 84054 and 84064.

Prime Factorization of 84054

Prime Factorization of 84064

Now multiplying the highest exponent prime factors to calculate the LCM of 84054 and 84064.

LCM(84054,84064) = 2⁵ × 3¹ × 14009¹ × 37¹ × 71¹
LCM(84054,84064) = 3532957728