What is the Least Common Multiple of 83945 and 83961?

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 83945 and 83961 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83945 and 83961, than apply into the LCM equation.

GCF(83945,83961) = 1
LCM(83945,83961) = ( 83945 × 83961) / 1
LCM(83945,83961) = 7048106145 / 1
LCM(83945,83961) = 7048106145

Least Common Multiple (LCM) of 83945 and 83961 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83945 and 83961. First we will calculate the prime factors of 83945 and 83961.

Prime Factorization of 83945

Prime Factorization of 83961

Now multiplying the highest exponent prime factors to calculate the LCM of 83945 and 83961.

LCM(83945,83961) = 5¹ × 103¹ × 163¹ × 3² × 19¹ × 491¹
LCM(83945,83961) = 7048106145