What is the Least Common Multiple of 59054 and 59072?

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 59054 and 59072 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59054 and 59072, than apply into the LCM equation.

GCF(59054,59072) = 2
LCM(59054,59072) = ( 59054 × 59072) / 2
LCM(59054,59072) = 3488437888 / 2
LCM(59054,59072) = 1744218944

Least Common Multiple (LCM) of 59054 and 59072 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59054 and 59072. First we will calculate the prime factors of 59054 and 59072.

Prime Factorization of 59054

Prime Factorization of 59072

Now multiplying the highest exponent prime factors to calculate the LCM of 59054 and 59072.

LCM(59054,59072) = 2⁶ × 29527¹ × 13¹ × 71¹
LCM(59054,59072) = 1744218944