What is the Least Common Multiple of 59517 and 59534?

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 59517 and 59534 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59517 and 59534, than apply into the LCM equation.

GCF(59517,59534) = 17
LCM(59517,59534) = ( 59517 × 59534) / 17
LCM(59517,59534) = 3543285078 / 17
LCM(59517,59534) = 208428534

Least Common Multiple (LCM) of 59517 and 59534 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59517 and 59534. First we will calculate the prime factors of 59517 and 59534.

Prime Factorization of 59517

Prime Factorization of 59534

Now multiplying the highest exponent prime factors to calculate the LCM of 59517 and 59534.

LCM(59517,59534) = 3² × 17² × 389¹ × 2¹ × 103¹
LCM(59517,59534) = 208428534