What is the Least Common Multiple of 65475 and 65490?

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 65475 and 65490 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65475 and 65490, than apply into the LCM equation.

GCF(65475,65490) = 15
LCM(65475,65490) = ( 65475 × 65490) / 15
LCM(65475,65490) = 4287957750 / 15
LCM(65475,65490) = 285863850

Least Common Multiple (LCM) of 65475 and 65490 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65475 and 65490. First we will calculate the prime factors of 65475 and 65490.

Prime Factorization of 65475

Prime Factorization of 65490

Now multiplying the highest exponent prime factors to calculate the LCM of 65475 and 65490.

LCM(65475,65490) = 3³ × 5² × 97¹ × 2¹ × 37¹ × 59¹
LCM(65475,65490) = 285863850