What is the Least Common Multiple of 73175 and 73182?

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 73175 and 73182 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73175 and 73182, than apply into the LCM equation.

GCF(73175,73182) = 1
LCM(73175,73182) = ( 73175 × 73182) / 1
LCM(73175,73182) = 5355092850 / 1
LCM(73175,73182) = 5355092850

Least Common Multiple (LCM) of 73175 and 73182 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73175 and 73182. First we will calculate the prime factors of 73175 and 73182.

Prime Factorization of 73175

Prime Factorization of 73182

Now multiplying the highest exponent prime factors to calculate the LCM of 73175 and 73182.

LCM(73175,73182) = 5² × 2927¹ × 2¹ × 3¹ × 12197¹
LCM(73175,73182) = 5355092850