What is the Least Common Multiple of 61065 and 61080?

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 61065 and 61080 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61065 and 61080, than apply into the LCM equation.

GCF(61065,61080) = 15
LCM(61065,61080) = ( 61065 × 61080) / 15
LCM(61065,61080) = 3729850200 / 15
LCM(61065,61080) = 248656680

Least Common Multiple (LCM) of 61065 and 61080 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61065 and 61080. First we will calculate the prime factors of 61065 and 61080.

Prime Factorization of 61065

Prime Factorization of 61080

Now multiplying the highest exponent prime factors to calculate the LCM of 61065 and 61080.

LCM(61065,61080) = 3² × 5¹ × 23¹ × 59¹ × 2³ × 509¹
LCM(61065,61080) = 248656680