What is the Least Common Multiple of 59176 and 59190?

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 59176 and 59190 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59176 and 59190, than apply into the LCM equation.

GCF(59176,59190) = 2
LCM(59176,59190) = ( 59176 × 59190) / 2
LCM(59176,59190) = 3502627440 / 2
LCM(59176,59190) = 1751313720

Least Common Multiple (LCM) of 59176 and 59190 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59176 and 59190. First we will calculate the prime factors of 59176 and 59190.

Prime Factorization of 59176

Prime Factorization of 59190

Now multiplying the highest exponent prime factors to calculate the LCM of 59176 and 59190.

LCM(59176,59190) = 2³ × 13¹ × 569¹ × 3¹ × 5¹ × 1973¹
LCM(59176,59190) = 1751313720