What is the Least Common Multiple of 73281 and 73290?

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 73281 and 73290 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73281 and 73290, than apply into the LCM equation.

GCF(73281,73290) = 3
LCM(73281,73290) = ( 73281 × 73290) / 3
LCM(73281,73290) = 5370764490 / 3
LCM(73281,73290) = 1790254830

Least Common Multiple (LCM) of 73281 and 73290 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73281 and 73290. First we will calculate the prime factors of 73281 and 73290.

Prime Factorization of 73281

Prime Factorization of 73290

Now multiplying the highest exponent prime factors to calculate the LCM of 73281 and 73290.

LCM(73281,73290) = 3¹ × 13¹ × 1879¹ × 2¹ × 5¹ × 7¹ × 349¹
LCM(73281,73290) = 1790254830