What is the Least Common Multiple of 65934 and 65945?

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 65934 and 65945 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65934 and 65945, than apply into the LCM equation.

GCF(65934,65945) = 11
LCM(65934,65945) = ( 65934 × 65945) / 11
LCM(65934,65945) = 4348017630 / 11
LCM(65934,65945) = 395274330

Least Common Multiple (LCM) of 65934 and 65945 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65934 and 65945. First we will calculate the prime factors of 65934 and 65945.

Prime Factorization of 65934

Prime Factorization of 65945

Now multiplying the highest exponent prime factors to calculate the LCM of 65934 and 65945.

LCM(65934,65945) = 2¹ × 3⁴ × 11² × 37¹ × 5¹ × 109¹
LCM(65934,65945) = 395274330