What is the Least Common Multiple of 61461 and 61465?

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 61461 and 61465 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61461 and 61465, than apply into the LCM equation.

GCF(61461,61465) = 1
LCM(61461,61465) = ( 61461 × 61465) / 1
LCM(61461,61465) = 3777700365 / 1
LCM(61461,61465) = 3777700365

Least Common Multiple (LCM) of 61461 and 61465 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61461 and 61465. First we will calculate the prime factors of 61461 and 61465.

Prime Factorization of 61461

Prime Factorization of 61465

Now multiplying the highest exponent prime factors to calculate the LCM of 61461 and 61465.

LCM(61461,61465) = 3² × 6829¹ × 5¹ × 19¹ × 647¹
LCM(61461,61465) = 3777700365