What is the Least Common Multiple of 34605 and 34614?

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 34605 and 34614 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34605 and 34614, than apply into the LCM equation.

GCF(34605,34614) = 9
LCM(34605,34614) = ( 34605 × 34614) / 9
LCM(34605,34614) = 1197817470 / 9
LCM(34605,34614) = 133090830

Least Common Multiple (LCM) of 34605 and 34614 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34605 and 34614. First we will calculate the prime factors of 34605 and 34614.

Prime Factorization of 34605

Prime Factorization of 34614

Now multiplying the highest exponent prime factors to calculate the LCM of 34605 and 34614.

LCM(34605,34614) = 3³ × 5¹ × 769¹ × 2¹ × 641¹
LCM(34605,34614) = 133090830