What is the Least Common Multiple of 33658 and 33670?

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 33658 and 33670 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33658 and 33670, than apply into the LCM equation.

GCF(33658,33670) = 2
LCM(33658,33670) = ( 33658 × 33670) / 2
LCM(33658,33670) = 1133264860 / 2
LCM(33658,33670) = 566632430

Least Common Multiple (LCM) of 33658 and 33670 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33658 and 33670. First we will calculate the prime factors of 33658 and 33670.

Prime Factorization of 33658

Prime Factorization of 33670

Now multiplying the highest exponent prime factors to calculate the LCM of 33658 and 33670.

LCM(33658,33670) = 2¹ × 16829¹ × 5¹ × 7¹ × 13¹ × 37¹
LCM(33658,33670) = 566632430