What is the Least Common Multiple of 39038 and 39052?

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 39038 and 39052 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39038 and 39052, than apply into the LCM equation.

GCF(39038,39052) = 2
LCM(39038,39052) = ( 39038 × 39052) / 2
LCM(39038,39052) = 1524511976 / 2
LCM(39038,39052) = 762255988

Least Common Multiple (LCM) of 39038 and 39052 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39038 and 39052. First we will calculate the prime factors of 39038 and 39052.

Prime Factorization of 39038

Prime Factorization of 39052

Now multiplying the highest exponent prime factors to calculate the LCM of 39038 and 39052.

LCM(39038,39052) = 2² × 131¹ × 149¹ × 13¹ × 751¹
LCM(39038,39052) = 762255988