What is the Least Common Multiple of 32245 and 32265?

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 32245 and 32265 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32245 and 32265, than apply into the LCM equation.

GCF(32245,32265) = 5
LCM(32245,32265) = ( 32245 × 32265) / 5
LCM(32245,32265) = 1040384925 / 5
LCM(32245,32265) = 208076985

Least Common Multiple (LCM) of 32245 and 32265 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32245 and 32265. First we will calculate the prime factors of 32245 and 32265.

Prime Factorization of 32245

Prime Factorization of 32265

Now multiplying the highest exponent prime factors to calculate the LCM of 32245 and 32265.

LCM(32245,32265) = 5¹ × 6449¹ × 3³ × 239¹
LCM(32245,32265) = 208076985