What is the Least Common Multiple of 59733 and 59737?

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 59733 and 59737 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59733 and 59737, than apply into the LCM equation.

GCF(59733,59737) = 1
LCM(59733,59737) = ( 59733 × 59737) / 1
LCM(59733,59737) = 3568270221 / 1
LCM(59733,59737) = 3568270221

Least Common Multiple (LCM) of 59733 and 59737 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59733 and 59737. First we will calculate the prime factors of 59733 and 59737.

Prime Factorization of 59733

Prime Factorization of 59737

Now multiplying the highest exponent prime factors to calculate the LCM of 59733 and 59737.

LCM(59733,59737) = 3² × 6637¹ × 31¹ × 41¹ × 47¹
LCM(59733,59737) = 3568270221