What is the Least Common Multiple of 38759 and 38779?

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 38759 and 38779 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38759 and 38779, than apply into the LCM equation.

GCF(38759,38779) = 1
LCM(38759,38779) = ( 38759 × 38779) / 1
LCM(38759,38779) = 1503035261 / 1
LCM(38759,38779) = 1503035261

Least Common Multiple (LCM) of 38759 and 38779 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38759 and 38779. First we will calculate the prime factors of 38759 and 38779.

Prime Factorization of 38759

Prime Factorization of 38779

Now multiplying the highest exponent prime factors to calculate the LCM of 38759 and 38779.

LCM(38759,38779) = 7³ × 113¹ × 13¹ × 19¹ × 157¹
LCM(38759,38779) = 1503035261