What is the Least Common Multiple of 5014 and 5033?

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 5014 and 5033 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5014 and 5033, than apply into the LCM equation.

GCF(5014,5033) = 1
LCM(5014,5033) = ( 5014 × 5033) / 1
LCM(5014,5033) = 25235462 / 1
LCM(5014,5033) = 25235462

Least Common Multiple (LCM) of 5014 and 5033 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5014 and 5033. First we will calculate the prime factors of 5014 and 5033.

Prime Factorization of 5014

Prime Factorization of 5033

Now multiplying the highest exponent prime factors to calculate the LCM of 5014 and 5033.

LCM(5014,5033) = 2¹ × 23¹ × 109¹ × 7¹ × 719¹
LCM(5014,5033) = 25235462