What is the Least Common Multiple of 65145 and 65164?

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 65145 and 65164 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65145 and 65164, than apply into the LCM equation.

GCF(65145,65164) = 1
LCM(65145,65164) = ( 65145 × 65164) / 1
LCM(65145,65164) = 4245108780 / 1
LCM(65145,65164) = 4245108780

Least Common Multiple (LCM) of 65145 and 65164 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65145 and 65164. First we will calculate the prime factors of 65145 and 65164.

Prime Factorization of 65145

Prime Factorization of 65164

Now multiplying the highest exponent prime factors to calculate the LCM of 65145 and 65164.

LCM(65145,65164) = 3¹ × 5¹ × 43¹ × 101¹ × 2² × 11¹ × 1481¹
LCM(65145,65164) = 4245108780