What is the Least Common Multiple of 59704 and 59712?

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 59704 and 59712 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59704 and 59712, than apply into the LCM equation.

GCF(59704,59712) = 8
LCM(59704,59712) = ( 59704 × 59712) / 8
LCM(59704,59712) = 3565045248 / 8
LCM(59704,59712) = 445630656

Least Common Multiple (LCM) of 59704 and 59712 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59704 and 59712. First we will calculate the prime factors of 59704 and 59712.

Prime Factorization of 59704

Prime Factorization of 59712

Now multiplying the highest exponent prime factors to calculate the LCM of 59704 and 59712.

LCM(59704,59712) = 2⁶ × 17¹ × 439¹ × 3¹ × 311¹
LCM(59704,59712) = 445630656