What is the Least Common Multiple of 52798 and 52802?

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 52798 and 52802 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52798 and 52802, than apply into the LCM equation.

GCF(52798,52802) = 2
LCM(52798,52802) = ( 52798 × 52802) / 2
LCM(52798,52802) = 2787839996 / 2
LCM(52798,52802) = 1393919998

Least Common Multiple (LCM) of 52798 and 52802 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52798 and 52802. First we will calculate the prime factors of 52798 and 52802.

Prime Factorization of 52798

Prime Factorization of 52802

Now multiplying the highest exponent prime factors to calculate the LCM of 52798 and 52802.

LCM(52798,52802) = 2¹ × 26399¹ × 17¹ × 1553¹
LCM(52798,52802) = 1393919998