What is the Least Common Multiple of 43485 and 43505?

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 43485 and 43505 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43485 and 43505, than apply into the LCM equation.

GCF(43485,43505) = 5
LCM(43485,43505) = ( 43485 × 43505) / 5
LCM(43485,43505) = 1891814925 / 5
LCM(43485,43505) = 378362985

Least Common Multiple (LCM) of 43485 and 43505 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43485 and 43505. First we will calculate the prime factors of 43485 and 43505.

Prime Factorization of 43485

Prime Factorization of 43505

Now multiplying the highest exponent prime factors to calculate the LCM of 43485 and 43505.

LCM(43485,43505) = 3¹ × 5¹ × 13¹ × 223¹ × 7¹ × 11¹ × 113¹
LCM(43485,43505) = 378362985