What is the Least Common Multiple of 4013 and 4033?

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 4013 and 4033 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4013 and 4033, than apply into the LCM equation.

GCF(4013,4033) = 1
LCM(4013,4033) = ( 4013 × 4033) / 1
LCM(4013,4033) = 16184429 / 1
LCM(4013,4033) = 16184429

Least Common Multiple (LCM) of 4013 and 4033 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4013 and 4033. First we will calculate the prime factors of 4013 and 4033.

Prime Factorization of 4013

Prime Factorization of 4033

Now multiplying the highest exponent prime factors to calculate the LCM of 4013 and 4033.

LCM(4013,4033) = 4013¹ × 37¹ × 109¹
LCM(4013,4033) = 16184429