What is the Least Common Multiple of 96969 and 96978?

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 96969 and 96978 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96969 and 96978, than apply into the LCM equation.

GCF(96969,96978) = 3
LCM(96969,96978) = ( 96969 × 96978) / 3
LCM(96969,96978) = 9403859682 / 3
LCM(96969,96978) = 3134619894

Least Common Multiple (LCM) of 96969 and 96978 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96969 and 96978. First we will calculate the prime factors of 96969 and 96978.

Prime Factorization of 96969

Prime Factorization of 96978

Now multiplying the highest exponent prime factors to calculate the LCM of 96969 and 96978.

LCM(96969,96978) = 3¹ × 32323¹ × 2¹ × 7¹ × 2309¹
LCM(96969,96978) = 3134619894