What is the Least Common Multiple of 59716 and 59730?

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 59716 and 59730 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59716 and 59730, than apply into the LCM equation.

GCF(59716,59730) = 2
LCM(59716,59730) = ( 59716 × 59730) / 2
LCM(59716,59730) = 3566836680 / 2
LCM(59716,59730) = 1783418340

Least Common Multiple (LCM) of 59716 and 59730 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59716 and 59730. First we will calculate the prime factors of 59716 and 59730.

Prime Factorization of 59716

Prime Factorization of 59730

Now multiplying the highest exponent prime factors to calculate the LCM of 59716 and 59730.

LCM(59716,59730) = 2² × 14929¹ × 3¹ × 5¹ × 11¹ × 181¹
LCM(59716,59730) = 1783418340