What is the Least Common Multiple of 73822 and 73835?

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 73822 and 73835 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73822 and 73835, than apply into the LCM equation.

GCF(73822,73835) = 1
LCM(73822,73835) = ( 73822 × 73835) / 1
LCM(73822,73835) = 5450647370 / 1
LCM(73822,73835) = 5450647370

Least Common Multiple (LCM) of 73822 and 73835 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73822 and 73835. First we will calculate the prime factors of 73822 and 73835.

Prime Factorization of 73822

Prime Factorization of 73835

Now multiplying the highest exponent prime factors to calculate the LCM of 73822 and 73835.

LCM(73822,73835) = 2¹ × 7¹ × 5273¹ × 5¹ × 14767¹
LCM(73822,73835) = 5450647370