What is the Least Common Multiple of 44759 and 44777?

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 44759 and 44777 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44759 and 44777, than apply into the LCM equation.

GCF(44759,44777) = 1
LCM(44759,44777) = ( 44759 × 44777) / 1
LCM(44759,44777) = 2004173743 / 1
LCM(44759,44777) = 2004173743

Least Common Multiple (LCM) of 44759 and 44777 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44759 and 44777. First we will calculate the prime factors of 44759 and 44777.

Prime Factorization of 44759

Prime Factorization of 44777

Now multiplying the highest exponent prime factors to calculate the LCM of 44759 and 44777.

LCM(44759,44777) = 11¹ × 13¹ × 313¹ × 44777¹
LCM(44759,44777) = 2004173743