What is the Least Common Multiple of 32951 and 32961?

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 32951 and 32961 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32951 and 32961, than apply into the LCM equation.

GCF(32951,32961) = 1
LCM(32951,32961) = ( 32951 × 32961) / 1
LCM(32951,32961) = 1086097911 / 1
LCM(32951,32961) = 1086097911

Least Common Multiple (LCM) of 32951 and 32961 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32951 and 32961. First we will calculate the prime factors of 32951 and 32961.

Prime Factorization of 32951

Prime Factorization of 32961

Now multiplying the highest exponent prime factors to calculate the LCM of 32951 and 32961.

LCM(32951,32961) = 83¹ × 397¹ × 3¹ × 10987¹
LCM(32951,32961) = 1086097911