What is the Least Common Multiple of 52014 and 52033?

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 52014 and 52033 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52014 and 52033, than apply into the LCM equation.

GCF(52014,52033) = 1
LCM(52014,52033) = ( 52014 × 52033) / 1
LCM(52014,52033) = 2706444462 / 1
LCM(52014,52033) = 2706444462

Least Common Multiple (LCM) of 52014 and 52033 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52014 and 52033. First we will calculate the prime factors of 52014 and 52033.

Prime Factorization of 52014

Prime Factorization of 52033

Now multiplying the highest exponent prime factors to calculate the LCM of 52014 and 52033.

LCM(52014,52033) = 2¹ × 3¹ × 8669¹ × 61¹ × 853¹
LCM(52014,52033) = 2706444462