What is the Least Common Multiple of 96678 and 96692?

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 96678 and 96692 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96678 and 96692, than apply into the LCM equation.

GCF(96678,96692) = 2
LCM(96678,96692) = ( 96678 × 96692) / 2
LCM(96678,96692) = 9347989176 / 2
LCM(96678,96692) = 4673994588

Least Common Multiple (LCM) of 96678 and 96692 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96678 and 96692. First we will calculate the prime factors of 96678 and 96692.

Prime Factorization of 96678

Prime Factorization of 96692

Now multiplying the highest exponent prime factors to calculate the LCM of 96678 and 96692.

LCM(96678,96692) = 2² × 3² × 41¹ × 131¹ × 23¹ × 1051¹
LCM(96678,96692) = 4673994588