What is the Least Common Multiple of 4290 and 4305?

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 4290 and 4305 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4290 and 4305, than apply into the LCM equation.

GCF(4290,4305) = 15
LCM(4290,4305) = ( 4290 × 4305) / 15
LCM(4290,4305) = 18468450 / 15
LCM(4290,4305) = 1231230

Least Common Multiple (LCM) of 4290 and 4305 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4290 and 4305. First we will calculate the prime factors of 4290 and 4305.

Prime Factorization of 4290

Prime Factorization of 4305

Now multiplying the highest exponent prime factors to calculate the LCM of 4290 and 4305.

LCM(4290,4305) = 2¹ × 3¹ × 5¹ × 11¹ × 13¹ × 7¹ × 41¹
LCM(4290,4305) = 1231230