What is the Least Common Multiple of 64033 and 64048?

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 64033 and 64048 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64033 and 64048, than apply into the LCM equation.

GCF(64033,64048) = 1
LCM(64033,64048) = ( 64033 × 64048) / 1
LCM(64033,64048) = 4101185584 / 1
LCM(64033,64048) = 4101185584

Least Common Multiple (LCM) of 64033 and 64048 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64033 and 64048. First we will calculate the prime factors of 64033 and 64048.

Prime Factorization of 64033

Prime Factorization of 64048

Now multiplying the highest exponent prime factors to calculate the LCM of 64033 and 64048.

LCM(64033,64048) = 64033¹ × 2⁴ × 4003¹
LCM(64033,64048) = 4101185584