What is the Least Common Multiple of 43290 and 43302?

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 43290 and 43302 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43290 and 43302, than apply into the LCM equation.

GCF(43290,43302) = 6
LCM(43290,43302) = ( 43290 × 43302) / 6
LCM(43290,43302) = 1874543580 / 6
LCM(43290,43302) = 312423930

Least Common Multiple (LCM) of 43290 and 43302 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43290 and 43302. First we will calculate the prime factors of 43290 and 43302.

Prime Factorization of 43290

Prime Factorization of 43302

Now multiplying the highest exponent prime factors to calculate the LCM of 43290 and 43302.

LCM(43290,43302) = 2¹ × 3² × 5¹ × 13¹ × 37¹ × 7¹ × 1031¹
LCM(43290,43302) = 312423930