What is the Least Common Multiple of 66822 and 66830?

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 66822 and 66830 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66822 and 66830, than apply into the LCM equation.

GCF(66822,66830) = 2
LCM(66822,66830) = ( 66822 × 66830) / 2
LCM(66822,66830) = 4465714260 / 2
LCM(66822,66830) = 2232857130

Least Common Multiple (LCM) of 66822 and 66830 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66822 and 66830. First we will calculate the prime factors of 66822 and 66830.

Prime Factorization of 66822

Prime Factorization of 66830

Now multiplying the highest exponent prime factors to calculate the LCM of 66822 and 66830.

LCM(66822,66830) = 2¹ × 3¹ × 7¹ × 37¹ × 43¹ × 5¹ × 41¹ × 163¹
LCM(66822,66830) = 2232857130