What is the Least Common Multiple of 97856 and 97860?

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 97856 and 97860 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97856 and 97860, than apply into the LCM equation.

GCF(97856,97860) = 4
LCM(97856,97860) = ( 97856 × 97860) / 4
LCM(97856,97860) = 9576188160 / 4
LCM(97856,97860) = 2394047040

Least Common Multiple (LCM) of 97856 and 97860 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97856 and 97860. First we will calculate the prime factors of 97856 and 97860.

Prime Factorization of 97856

Prime Factorization of 97860

Now multiplying the highest exponent prime factors to calculate the LCM of 97856 and 97860.

LCM(97856,97860) = 2⁶ × 11¹ × 139¹ × 3¹ × 5¹ × 7¹ × 233¹
LCM(97856,97860) = 2394047040