What is the Least Common Multiple of 20252 and 20270?

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 20252 and 20270 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20252 and 20270, than apply into the LCM equation.

GCF(20252,20270) = 2
LCM(20252,20270) = ( 20252 × 20270) / 2
LCM(20252,20270) = 410508040 / 2
LCM(20252,20270) = 205254020

Least Common Multiple (LCM) of 20252 and 20270 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20252 and 20270. First we will calculate the prime factors of 20252 and 20270.

Prime Factorization of 20252

Prime Factorization of 20270

Now multiplying the highest exponent prime factors to calculate the LCM of 20252 and 20270.

LCM(20252,20270) = 2² × 61¹ × 83¹ × 5¹ × 2027¹
LCM(20252,20270) = 205254020