What is the Least Common Multiple of 97825 and 97840?

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 97825 and 97840 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97825 and 97840, than apply into the LCM equation.

GCF(97825,97840) = 5
LCM(97825,97840) = ( 97825 × 97840) / 5
LCM(97825,97840) = 9571198000 / 5
LCM(97825,97840) = 1914239600

Least Common Multiple (LCM) of 97825 and 97840 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97825 and 97840. First we will calculate the prime factors of 97825 and 97840.

Prime Factorization of 97825

Prime Factorization of 97840

Now multiplying the highest exponent prime factors to calculate the LCM of 97825 and 97840.

LCM(97825,97840) = 5² × 7¹ × 13¹ × 43¹ × 2⁴ × 1223¹
LCM(97825,97840) = 1914239600