What is the Least Common Multiple of 61145 and 61150?

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 61145 and 61150 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61145 and 61150, than apply into the LCM equation.

GCF(61145,61150) = 5
LCM(61145,61150) = ( 61145 × 61150) / 5
LCM(61145,61150) = 3739016750 / 5
LCM(61145,61150) = 747803350

Least Common Multiple (LCM) of 61145 and 61150 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61145 and 61150. First we will calculate the prime factors of 61145 and 61150.

Prime Factorization of 61145

Prime Factorization of 61150

Now multiplying the highest exponent prime factors to calculate the LCM of 61145 and 61150.

LCM(61145,61150) = 5² × 7¹ × 1747¹ × 2¹ × 1223¹
LCM(61145,61150) = 747803350