What is the Least Common Multiple of 59109 and 59129?

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 59109 and 59129 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59109 and 59129, than apply into the LCM equation.

GCF(59109,59129) = 1
LCM(59109,59129) = ( 59109 × 59129) / 1
LCM(59109,59129) = 3495056061 / 1
LCM(59109,59129) = 3495056061

Least Common Multiple (LCM) of 59109 and 59129 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59109 and 59129. First we will calculate the prime factors of 59109 and 59129.

Prime Factorization of 59109

Prime Factorization of 59129

Now multiplying the highest exponent prime factors to calculate the LCM of 59109 and 59129.

LCM(59109,59129) = 3¹ × 17¹ × 19¹ × 61¹ × 7¹ × 8447¹
LCM(59109,59129) = 3495056061