What is the Least Common Multiple of 97812 and 97822?

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 97812 and 97822 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97812 and 97822, than apply into the LCM equation.

GCF(97812,97822) = 2
LCM(97812,97822) = ( 97812 × 97822) / 2
LCM(97812,97822) = 9568165464 / 2
LCM(97812,97822) = 4784082732

Least Common Multiple (LCM) of 97812 and 97822 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97812 and 97822. First we will calculate the prime factors of 97812 and 97822.

Prime Factorization of 97812

Prime Factorization of 97822

Now multiplying the highest exponent prime factors to calculate the LCM of 97812 and 97822.

LCM(97812,97822) = 2² × 3² × 11¹ × 13¹ × 19¹ × 59¹ × 829¹
LCM(97812,97822) = 4784082732