What is the Least Common Multiple of 20030 and 20048?

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 20030 and 20048 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20030 and 20048, than apply into the LCM equation.

GCF(20030,20048) = 2
LCM(20030,20048) = ( 20030 × 20048) / 2
LCM(20030,20048) = 401561440 / 2
LCM(20030,20048) = 200780720

Least Common Multiple (LCM) of 20030 and 20048 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20030 and 20048. First we will calculate the prime factors of 20030 and 20048.

Prime Factorization of 20030

Prime Factorization of 20048

Now multiplying the highest exponent prime factors to calculate the LCM of 20030 and 20048.

LCM(20030,20048) = 2⁴ × 5¹ × 2003¹ × 7¹ × 179¹
LCM(20030,20048) = 200780720