What is the Least Common Multiple of 65040 and 65052?

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 65040 and 65052 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65040 and 65052, than apply into the LCM equation.

GCF(65040,65052) = 12
LCM(65040,65052) = ( 65040 × 65052) / 12
LCM(65040,65052) = 4230982080 / 12
LCM(65040,65052) = 352581840

Least Common Multiple (LCM) of 65040 and 65052 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65040 and 65052. First we will calculate the prime factors of 65040 and 65052.

Prime Factorization of 65040

Prime Factorization of 65052

Now multiplying the highest exponent prime factors to calculate the LCM of 65040 and 65052.

LCM(65040,65052) = 2⁴ × 3² × 5¹ × 271¹ × 13¹ × 139¹
LCM(65040,65052) = 352581840