What is the Least Common Multiple of 93810 and 93822?

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 93810 and 93822 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93810 and 93822, than apply into the LCM equation.

GCF(93810,93822) = 6
LCM(93810,93822) = ( 93810 × 93822) / 6
LCM(93810,93822) = 8801441820 / 6
LCM(93810,93822) = 1466906970

Least Common Multiple (LCM) of 93810 and 93822 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93810 and 93822. First we will calculate the prime factors of 93810 and 93822.

Prime Factorization of 93810

Prime Factorization of 93822

Now multiplying the highest exponent prime factors to calculate the LCM of 93810 and 93822.

LCM(93810,93822) = 2¹ × 3¹ × 5¹ × 53¹ × 59¹ × 19¹ × 823¹
LCM(93810,93822) = 1466906970