What is the Least Common Multiple of 32661 and 32670?

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 32661 and 32670 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32661 and 32670, than apply into the LCM equation.

GCF(32661,32670) = 9
LCM(32661,32670) = ( 32661 × 32670) / 9
LCM(32661,32670) = 1067034870 / 9
LCM(32661,32670) = 118559430

Least Common Multiple (LCM) of 32661 and 32670 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32661 and 32670. First we will calculate the prime factors of 32661 and 32670.

Prime Factorization of 32661

Prime Factorization of 32670

Now multiplying the highest exponent prime factors to calculate the LCM of 32661 and 32670.

LCM(32661,32670) = 3³ × 19¹ × 191¹ × 2¹ × 5¹ × 11²
LCM(32661,32670) = 118559430