What is the Least Common Multiple of 59064 and 59078?

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 59064 and 59078 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59064 and 59078, than apply into the LCM equation.

GCF(59064,59078) = 2
LCM(59064,59078) = ( 59064 × 59078) / 2
LCM(59064,59078) = 3489382992 / 2
LCM(59064,59078) = 1744691496

Least Common Multiple (LCM) of 59064 and 59078 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59064 and 59078. First we will calculate the prime factors of 59064 and 59078.

Prime Factorization of 59064

Prime Factorization of 59078

Now multiplying the highest exponent prime factors to calculate the LCM of 59064 and 59078.

LCM(59064,59078) = 2³ × 3¹ × 23¹ × 107¹ × 109¹ × 271¹
LCM(59064,59078) = 1744691496