What is the Least Common Multiple of 39748 and 39758?

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 39748 and 39758 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39748 and 39758, than apply into the LCM equation.

GCF(39748,39758) = 2
LCM(39748,39758) = ( 39748 × 39758) / 2
LCM(39748,39758) = 1580300984 / 2
LCM(39748,39758) = 790150492

Least Common Multiple (LCM) of 39748 and 39758 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39748 and 39758. First we will calculate the prime factors of 39748 and 39758.

Prime Factorization of 39748

Prime Factorization of 39758

Now multiplying the highest exponent prime factors to calculate the LCM of 39748 and 39758.

LCM(39748,39758) = 2² × 19¹ × 523¹ × 103¹ × 193¹
LCM(39748,39758) = 790150492