What is the Least Common Multiple of 65065 and 65074?

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 65065 and 65074 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65065 and 65074, than apply into the LCM equation.

GCF(65065,65074) = 1
LCM(65065,65074) = ( 65065 × 65074) / 1
LCM(65065,65074) = 4234039810 / 1
LCM(65065,65074) = 4234039810

Least Common Multiple (LCM) of 65065 and 65074 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65065 and 65074. First we will calculate the prime factors of 65065 and 65074.

Prime Factorization of 65065

Prime Factorization of 65074

Now multiplying the highest exponent prime factors to calculate the LCM of 65065 and 65074.

LCM(65065,65074) = 5¹ × 7¹ × 11¹ × 13² × 2¹ × 32537¹
LCM(65065,65074) = 4234039810