What is the Least Common Multiple of 65055 and 65070?

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 65055 and 65070 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65055 and 65070, than apply into the LCM equation.

GCF(65055,65070) = 15
LCM(65055,65070) = ( 65055 × 65070) / 15
LCM(65055,65070) = 4233128850 / 15
LCM(65055,65070) = 282208590

Least Common Multiple (LCM) of 65055 and 65070 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65055 and 65070. First we will calculate the prime factors of 65055 and 65070.

Prime Factorization of 65055

Prime Factorization of 65070

Now multiplying the highest exponent prime factors to calculate the LCM of 65055 and 65070.

LCM(65055,65070) = 3³ × 5¹ × 4337¹ × 2¹ × 241¹
LCM(65055,65070) = 282208590