What is the Least Common Multiple of 79990 and 80008?

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 79990 and 80008 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79990 and 80008, than apply into the LCM equation.

GCF(79990,80008) = 2
LCM(79990,80008) = ( 79990 × 80008) / 2
LCM(79990,80008) = 6399839920 / 2
LCM(79990,80008) = 3199919960

Least Common Multiple (LCM) of 79990 and 80008 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79990 and 80008. First we will calculate the prime factors of 79990 and 80008.

Prime Factorization of 79990

Prime Factorization of 80008

Now multiplying the highest exponent prime factors to calculate the LCM of 79990 and 80008.

LCM(79990,80008) = 2³ × 5¹ × 19¹ × 421¹ × 73¹ × 137¹
LCM(79990,80008) = 3199919960