What is the Least Common Multiple of 97812 and 97831?

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 97831 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 97831, than apply into the LCM equation.

GCF(97812,97831) = 19
LCM(97812,97831) = ( 97812 × 97831) / 19
LCM(97812,97831) = 9569045772 / 19
LCM(97812,97831) = 503633988

Least Common Multiple (LCM) of 97812 and 97831 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97812 and 97831. First we will calculate the prime factors of 97812 and 97831.

Prime Factorization of 97812

Prime Factorization of 97831

Now multiplying the highest exponent prime factors to calculate the LCM of 97812 and 97831.

LCM(97812,97831) = 2² × 3² × 11¹ × 13¹ × 19² × 271¹
LCM(97812,97831) = 503633988