What is the Least Common Multiple of 59123 and 59139?

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 59123 and 59139 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59123 and 59139, than apply into the LCM equation.

GCF(59123,59139) = 1
LCM(59123,59139) = ( 59123 × 59139) / 1
LCM(59123,59139) = 3496475097 / 1
LCM(59123,59139) = 3496475097

Least Common Multiple (LCM) of 59123 and 59139 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59123 and 59139. First we will calculate the prime factors of 59123 and 59139.

Prime Factorization of 59123

Prime Factorization of 59139

Now multiplying the highest exponent prime factors to calculate the LCM of 59123 and 59139.

LCM(59123,59139) = 59123¹ × 3² × 6571¹
LCM(59123,59139) = 3496475097