What is the Least Common Multiple of 42038 and 42049?

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 42038 and 42049 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42038 and 42049, than apply into the LCM equation.

GCF(42038,42049) = 1
LCM(42038,42049) = ( 42038 × 42049) / 1
LCM(42038,42049) = 1767655862 / 1
LCM(42038,42049) = 1767655862

Least Common Multiple (LCM) of 42038 and 42049 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42038 and 42049. First we will calculate the prime factors of 42038 and 42049.

Prime Factorization of 42038

Prime Factorization of 42049

Now multiplying the highest exponent prime factors to calculate the LCM of 42038 and 42049.

LCM(42038,42049) = 2¹ × 21019¹ × 7¹ × 6007¹
LCM(42038,42049) = 1767655862