What is the Least Common Multiple of 85954 and 85961?

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 85954 and 85961 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85954 and 85961, than apply into the LCM equation.

GCF(85954,85961) = 1
LCM(85954,85961) = ( 85954 × 85961) / 1
LCM(85954,85961) = 7388691794 / 1
LCM(85954,85961) = 7388691794

Least Common Multiple (LCM) of 85954 and 85961 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85954 and 85961. First we will calculate the prime factors of 85954 and 85961.

Prime Factorization of 85954

Prime Factorization of 85961

Now multiplying the highest exponent prime factors to calculate the LCM of 85954 and 85961.

LCM(85954,85961) = 2¹ × 11¹ × 3907¹ × 67¹ × 1283¹
LCM(85954,85961) = 7388691794