What is the Least Common Multiple of 34614 and 34629?

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 34614 and 34629 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34614 and 34629, than apply into the LCM equation.

GCF(34614,34629) = 3
LCM(34614,34629) = ( 34614 × 34629) / 3
LCM(34614,34629) = 1198648206 / 3
LCM(34614,34629) = 399549402

Least Common Multiple (LCM) of 34614 and 34629 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34614 and 34629. First we will calculate the prime factors of 34614 and 34629.

Prime Factorization of 34614

Prime Factorization of 34629

Now multiplying the highest exponent prime factors to calculate the LCM of 34614 and 34629.

LCM(34614,34629) = 2¹ × 3³ × 641¹ × 7¹ × 17¹ × 97¹
LCM(34614,34629) = 399549402