What is the Least Common Multiple of 78986 and 79000?

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 78986 and 79000 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78986 and 79000, than apply into the LCM equation.

GCF(78986,79000) = 2
LCM(78986,79000) = ( 78986 × 79000) / 2
LCM(78986,79000) = 6239894000 / 2
LCM(78986,79000) = 3119947000

Least Common Multiple (LCM) of 78986 and 79000 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78986 and 79000. First we will calculate the prime factors of 78986 and 79000.

Prime Factorization of 78986

Prime Factorization of 79000

Now multiplying the highest exponent prime factors to calculate the LCM of 78986 and 79000.

LCM(78986,79000) = 2³ × 73¹ × 541¹ × 5³ × 79¹
LCM(78986,79000) = 3119947000