What is the Least Common Multiple of 97793 and 97812?

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 97793 and 97812 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97793 and 97812, than apply into the LCM equation.

GCF(97793,97812) = 19
LCM(97793,97812) = ( 97793 × 97812) / 19
LCM(97793,97812) = 9565328916 / 19
LCM(97793,97812) = 503438364

Least Common Multiple (LCM) of 97793 and 97812 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97793 and 97812. First we will calculate the prime factors of 97793 and 97812.

Prime Factorization of 97793

Prime Factorization of 97812

Now multiplying the highest exponent prime factors to calculate the LCM of 97793 and 97812.

LCM(97793,97812) = 19¹ × 5147¹ × 2² × 3² × 11¹ × 13¹
LCM(97793,97812) = 503438364