What is the Least Common Multiple of 97824 and 97836?

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 97824 and 97836 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97824 and 97836, than apply into the LCM equation.

GCF(97824,97836) = 12
LCM(97824,97836) = ( 97824 × 97836) / 12
LCM(97824,97836) = 9570708864 / 12
LCM(97824,97836) = 797559072

Least Common Multiple (LCM) of 97824 and 97836 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97824 and 97836. First we will calculate the prime factors of 97824 and 97836.

Prime Factorization of 97824

Prime Factorization of 97836

Now multiplying the highest exponent prime factors to calculate the LCM of 97824 and 97836.

LCM(97824,97836) = 2⁵ × 3¹ × 1019¹ × 31¹ × 263¹
LCM(97824,97836) = 797559072