What is the Least Common Multiple of 61145 and 61149?

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 61149 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 61149, than apply into the LCM equation.

GCF(61145,61149) = 1
LCM(61145,61149) = ( 61145 × 61149) / 1
LCM(61145,61149) = 3738955605 / 1
LCM(61145,61149) = 3738955605

Least Common Multiple (LCM) of 61145 and 61149 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61145 and 61149. First we will calculate the prime factors of 61145 and 61149.

Prime Factorization of 61145

Prime Factorization of 61149

Now multiplying the highest exponent prime factors to calculate the LCM of 61145 and 61149.

LCM(61145,61149) = 5¹ × 7¹ × 1747¹ × 3¹ × 11¹ × 17¹ × 109¹
LCM(61145,61149) = 3738955605