What is the Least Common Multiple of 4130 and 4150?

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 4130 and 4150 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4130 and 4150, than apply into the LCM equation.

GCF(4130,4150) = 10
LCM(4130,4150) = ( 4130 × 4150) / 10
LCM(4130,4150) = 17139500 / 10
LCM(4130,4150) = 1713950

Least Common Multiple (LCM) of 4130 and 4150 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4130 and 4150. First we will calculate the prime factors of 4130 and 4150.

Prime Factorization of 4130

Prime Factorization of 4150

Now multiplying the highest exponent prime factors to calculate the LCM of 4130 and 4150.

LCM(4130,4150) = 2¹ × 5² × 7¹ × 59¹ × 83¹
LCM(4130,4150) = 1713950