What is the Least Common Multiple of 59714 and 59728?

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 59714 and 59728 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59714 and 59728, than apply into the LCM equation.

GCF(59714,59728) = 2
LCM(59714,59728) = ( 59714 × 59728) / 2
LCM(59714,59728) = 3566597792 / 2
LCM(59714,59728) = 1783298896

Least Common Multiple (LCM) of 59714 and 59728 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59714 and 59728. First we will calculate the prime factors of 59714 and 59728.

Prime Factorization of 59714

Prime Factorization of 59728

Now multiplying the highest exponent prime factors to calculate the LCM of 59714 and 59728.

LCM(59714,59728) = 2⁴ × 73¹ × 409¹ × 3733¹
LCM(59714,59728) = 1783298896