What is the Least Common Multiple of 59689 and 59708?

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 59689 and 59708 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59689 and 59708, than apply into the LCM equation.

GCF(59689,59708) = 1
LCM(59689,59708) = ( 59689 × 59708) / 1
LCM(59689,59708) = 3563910812 / 1
LCM(59689,59708) = 3563910812

Least Common Multiple (LCM) of 59689 and 59708 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59689 and 59708. First we will calculate the prime factors of 59689 and 59708.

Prime Factorization of 59689

Prime Factorization of 59708

Now multiplying the highest exponent prime factors to calculate the LCM of 59689 and 59708.

LCM(59689,59708) = 7¹ × 8527¹ × 2² × 11¹ × 23¹ × 59¹
LCM(59689,59708) = 3563910812