What is the Least Common Multiple of 32335 and 32355?

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 32335 and 32355 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32335 and 32355, than apply into the LCM equation.

GCF(32335,32355) = 5
LCM(32335,32355) = ( 32335 × 32355) / 5
LCM(32335,32355) = 1046198925 / 5
LCM(32335,32355) = 209239785

Least Common Multiple (LCM) of 32335 and 32355 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32335 and 32355. First we will calculate the prime factors of 32335 and 32355.

Prime Factorization of 32335

Prime Factorization of 32355

Now multiplying the highest exponent prime factors to calculate the LCM of 32335 and 32355.

LCM(32335,32355) = 5¹ × 29¹ × 223¹ × 3² × 719¹
LCM(32335,32355) = 209239785