What is the Least Common Multiple of 38990 and 39002?

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 38990 and 39002 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38990 and 39002, than apply into the LCM equation.

GCF(38990,39002) = 2
LCM(38990,39002) = ( 38990 × 39002) / 2
LCM(38990,39002) = 1520687980 / 2
LCM(38990,39002) = 760343990

Least Common Multiple (LCM) of 38990 and 39002 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38990 and 39002. First we will calculate the prime factors of 38990 and 39002.

Prime Factorization of 38990

Prime Factorization of 39002

Now multiplying the highest exponent prime factors to calculate the LCM of 38990 and 39002.

LCM(38990,39002) = 2¹ × 5¹ × 7¹ × 557¹ × 19501¹
LCM(38990,39002) = 760343990