What is the Least Common Multiple of 97816 and 97835?

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 97816 and 97835 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97816 and 97835, than apply into the LCM equation.

GCF(97816,97835) = 1
LCM(97816,97835) = ( 97816 × 97835) / 1
LCM(97816,97835) = 9569828360 / 1
LCM(97816,97835) = 9569828360

Least Common Multiple (LCM) of 97816 and 97835 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97816 and 97835. First we will calculate the prime factors of 97816 and 97835.

Prime Factorization of 97816

Prime Factorization of 97835

Now multiplying the highest exponent prime factors to calculate the LCM of 97816 and 97835.

LCM(97816,97835) = 2³ × 12227¹ × 5¹ × 17¹ × 1151¹
LCM(97816,97835) = 9569828360