What is the Least Common Multiple of 79890 and 79896?

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 79890 and 79896 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79890 and 79896, than apply into the LCM equation.

GCF(79890,79896) = 6
LCM(79890,79896) = ( 79890 × 79896) / 6
LCM(79890,79896) = 6382891440 / 6
LCM(79890,79896) = 1063815240

Least Common Multiple (LCM) of 79890 and 79896 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79890 and 79896. First we will calculate the prime factors of 79890 and 79896.

Prime Factorization of 79890

Prime Factorization of 79896

Now multiplying the highest exponent prime factors to calculate the LCM of 79890 and 79896.

LCM(79890,79896) = 2³ × 3¹ × 5¹ × 2663¹ × 3329¹
LCM(79890,79896) = 1063815240