What is the Least Common Multiple of 59109 and 59123?

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 59123 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 59123, than apply into the LCM equation.

GCF(59109,59123) = 1
LCM(59109,59123) = ( 59109 × 59123) / 1
LCM(59109,59123) = 3494701407 / 1
LCM(59109,59123) = 3494701407

Least Common Multiple (LCM) of 59109 and 59123 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59109 and 59123. First we will calculate the prime factors of 59109 and 59123.

Prime Factorization of 59109

Prime Factorization of 59123

Now multiplying the highest exponent prime factors to calculate the LCM of 59109 and 59123.

LCM(59109,59123) = 3¹ × 17¹ × 19¹ × 61¹ × 59123¹
LCM(59109,59123) = 3494701407