What is the Least Common Multiple of 59072 and 59076?

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 59072 and 59076 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59072 and 59076, than apply into the LCM equation.

GCF(59072,59076) = 4
LCM(59072,59076) = ( 59072 × 59076) / 4
LCM(59072,59076) = 3489737472 / 4
LCM(59072,59076) = 872434368

Least Common Multiple (LCM) of 59072 and 59076 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59072 and 59076. First we will calculate the prime factors of 59072 and 59076.

Prime Factorization of 59072

Prime Factorization of 59076

Now multiplying the highest exponent prime factors to calculate the LCM of 59072 and 59076.

LCM(59072,59076) = 2⁶ × 13¹ × 71¹ × 3³ × 547¹
LCM(59072,59076) = 872434368