What is the Least Common Multiple of 52290 and 52302?

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 52290 and 52302 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52290 and 52302, than apply into the LCM equation.

GCF(52290,52302) = 6
LCM(52290,52302) = ( 52290 × 52302) / 6
LCM(52290,52302) = 2734871580 / 6
LCM(52290,52302) = 455811930

Least Common Multiple (LCM) of 52290 and 52302 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52290 and 52302. First we will calculate the prime factors of 52290 and 52302.

Prime Factorization of 52290

Prime Factorization of 52302

Now multiplying the highest exponent prime factors to calculate the LCM of 52290 and 52302.

LCM(52290,52302) = 2¹ × 3² × 5¹ × 7¹ × 83¹ × 23¹ × 379¹
LCM(52290,52302) = 455811930