What is the Least Common Multiple of 39740 and 39749?

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 39740 and 39749 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39740 and 39749, than apply into the LCM equation.

GCF(39740,39749) = 1
LCM(39740,39749) = ( 39740 × 39749) / 1
LCM(39740,39749) = 1579625260 / 1
LCM(39740,39749) = 1579625260

Least Common Multiple (LCM) of 39740 and 39749 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39740 and 39749. First we will calculate the prime factors of 39740 and 39749.

Prime Factorization of 39740

Prime Factorization of 39749

Now multiplying the highest exponent prime factors to calculate the LCM of 39740 and 39749.

LCM(39740,39749) = 2² × 5¹ × 1987¹ × 39749¹
LCM(39740,39749) = 1579625260