What is the Least Common Multiple of 61443 and 61461?

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 61443 and 61461 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61443 and 61461, than apply into the LCM equation.

GCF(61443,61461) = 9
LCM(61443,61461) = ( 61443 × 61461) / 9
LCM(61443,61461) = 3776348223 / 9
LCM(61443,61461) = 419594247

Least Common Multiple (LCM) of 61443 and 61461 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61443 and 61461. First we will calculate the prime factors of 61443 and 61461.

Prime Factorization of 61443

Prime Factorization of 61461

Now multiplying the highest exponent prime factors to calculate the LCM of 61443 and 61461.

LCM(61443,61461) = 3² × 6827¹ × 6829¹
LCM(61443,61461) = 419594247