What is the Least Common Multiple of 61065 and 61085?

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 61085 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 61085, than apply into the LCM equation.

GCF(61065,61085) = 5
LCM(61065,61085) = ( 61065 × 61085) / 5
LCM(61065,61085) = 3730155525 / 5
LCM(61065,61085) = 746031105

Least Common Multiple (LCM) of 61065 and 61085 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61065 and 61085. First we will calculate the prime factors of 61065 and 61085.

Prime Factorization of 61065

Prime Factorization of 61085

Now multiplying the highest exponent prime factors to calculate the LCM of 61065 and 61085.

LCM(61065,61085) = 3² × 5¹ × 23¹ × 59¹ × 19¹ × 643¹
LCM(61065,61085) = 746031105