What is the Least Common Multiple of 65050 and 65066?

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 65050 and 65066 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65050 and 65066, than apply into the LCM equation.

GCF(65050,65066) = 2
LCM(65050,65066) = ( 65050 × 65066) / 2
LCM(65050,65066) = 4232543300 / 2
LCM(65050,65066) = 2116271650

Least Common Multiple (LCM) of 65050 and 65066 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65050 and 65066. First we will calculate the prime factors of 65050 and 65066.

Prime Factorization of 65050

Prime Factorization of 65066

Now multiplying the highest exponent prime factors to calculate the LCM of 65050 and 65066.

LCM(65050,65066) = 2¹ × 5² × 1301¹ × 32533¹
LCM(65050,65066) = 2116271650