What is the Least Common Multiple of 34640 and 34651?

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 34640 and 34651 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34640 and 34651, than apply into the LCM equation.

GCF(34640,34651) = 1
LCM(34640,34651) = ( 34640 × 34651) / 1
LCM(34640,34651) = 1200310640 / 1
LCM(34640,34651) = 1200310640

Least Common Multiple (LCM) of 34640 and 34651 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34640 and 34651. First we will calculate the prime factors of 34640 and 34651.

Prime Factorization of 34640

Prime Factorization of 34651

Now multiplying the highest exponent prime factors to calculate the LCM of 34640 and 34651.

LCM(34640,34651) = 2⁴ × 5¹ × 433¹ × 34651¹
LCM(34640,34651) = 1200310640