What is the Least Common Multiple of 34653 and 34670?

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 34653 and 34670 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34653 and 34670, than apply into the LCM equation.

GCF(34653,34670) = 1
LCM(34653,34670) = ( 34653 × 34670) / 1
LCM(34653,34670) = 1201419510 / 1
LCM(34653,34670) = 1201419510

Least Common Multiple (LCM) of 34653 and 34670 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34653 and 34670. First we will calculate the prime factors of 34653 and 34670.

Prime Factorization of 34653

Prime Factorization of 34670

Now multiplying the highest exponent prime factors to calculate the LCM of 34653 and 34670.

LCM(34653,34670) = 3¹ × 11551¹ × 2¹ × 5¹ × 3467¹
LCM(34653,34670) = 1201419510