What is the Least Common Multiple of 97848 and 97861?

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 97848 and 97861 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97848 and 97861, than apply into the LCM equation.

GCF(97848,97861) = 1
LCM(97848,97861) = ( 97848 × 97861) / 1
LCM(97848,97861) = 9575503128 / 1
LCM(97848,97861) = 9575503128

Least Common Multiple (LCM) of 97848 and 97861 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97848 and 97861. First we will calculate the prime factors of 97848 and 97861.

Prime Factorization of 97848

Prime Factorization of 97861

Now multiplying the highest exponent prime factors to calculate the LCM of 97848 and 97861.

LCM(97848,97861) = 2³ × 3⁴ × 151¹ × 97861¹
LCM(97848,97861) = 9575503128