What is the Least Common Multiple of 96978 and 96992?

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 96978 and 96992 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96978 and 96992, than apply into the LCM equation.

GCF(96978,96992) = 14
LCM(96978,96992) = ( 96978 × 96992) / 14
LCM(96978,96992) = 9406090176 / 14
LCM(96978,96992) = 671863584

Least Common Multiple (LCM) of 96978 and 96992 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96978 and 96992. First we will calculate the prime factors of 96978 and 96992.

Prime Factorization of 96978

Prime Factorization of 96992

Now multiplying the highest exponent prime factors to calculate the LCM of 96978 and 96992.

LCM(96978,96992) = 2⁵ × 3¹ × 7¹ × 2309¹ × 433¹
LCM(96978,96992) = 671863584