What is the Least Common Multiple of 61056 and 61065?

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 61056 and 61065 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61056 and 61065, than apply into the LCM equation.

GCF(61056,61065) = 9
LCM(61056,61065) = ( 61056 × 61065) / 9
LCM(61056,61065) = 3728384640 / 9
LCM(61056,61065) = 414264960

Least Common Multiple (LCM) of 61056 and 61065 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61056 and 61065. First we will calculate the prime factors of 61056 and 61065.

Prime Factorization of 61056

Prime Factorization of 61065

Now multiplying the highest exponent prime factors to calculate the LCM of 61056 and 61065.

LCM(61056,61065) = 2⁷ × 3² × 53¹ × 5¹ × 23¹ × 59¹
LCM(61056,61065) = 414264960