What is the Least Common Multiple of 65345 and 65352?

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 65345 and 65352 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65345 and 65352, than apply into the LCM equation.

GCF(65345,65352) = 7
LCM(65345,65352) = ( 65345 × 65352) / 7
LCM(65345,65352) = 4270426440 / 7
LCM(65345,65352) = 610060920

Least Common Multiple (LCM) of 65345 and 65352 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65345 and 65352. First we will calculate the prime factors of 65345 and 65352.

Prime Factorization of 65345

Prime Factorization of 65352

Now multiplying the highest exponent prime factors to calculate the LCM of 65345 and 65352.

LCM(65345,65352) = 5¹ × 7¹ × 1867¹ × 2³ × 3¹ × 389¹
LCM(65345,65352) = 610060920