What is the Least Common Multiple of 44693 and 44703?

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 44703 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 44703, than apply into the LCM equation.

GCF(44693,44703) = 1
LCM(44693,44703) = ( 44693 × 44703) / 1
LCM(44693,44703) = 1997911179 / 1
LCM(44693,44703) = 1997911179

Least Common Multiple (LCM) of 44693 and 44703 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44693 and 44703. First we will calculate the prime factors of 44693 and 44703.

Prime Factorization of 44693

Prime Factorization of 44703

Now multiplying the highest exponent prime factors to calculate the LCM of 44693 and 44703.

LCM(44693,44703) = 11¹ × 17¹ × 239¹ × 3² × 4967¹
LCM(44693,44703) = 1997911179