What is the Least Common Multiple of 44693 and 44701?

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 44693 and 44701 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44693 and 44701, than apply into the LCM equation.

GCF(44693,44701) = 1
LCM(44693,44701) = ( 44693 × 44701) / 1
LCM(44693,44701) = 1997821793 / 1
LCM(44693,44701) = 1997821793

Least Common Multiple (LCM) of 44693 and 44701 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44693 and 44701. First we will calculate the prime factors of 44693 and 44701.

Prime Factorization of 44693

Prime Factorization of 44701

Now multiplying the highest exponent prime factors to calculate the LCM of 44693 and 44701.

LCM(44693,44701) = 11¹ × 17¹ × 239¹ × 44701¹
LCM(44693,44701) = 1997821793