What is the Least Common Multiple of 79888 and 79894?

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 79888 and 79894 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79888 and 79894, than apply into the LCM equation.

GCF(79888,79894) = 2
LCM(79888,79894) = ( 79888 × 79894) / 2
LCM(79888,79894) = 6382571872 / 2
LCM(79888,79894) = 3191285936

Least Common Multiple (LCM) of 79888 and 79894 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79888 and 79894. First we will calculate the prime factors of 79888 and 79894.

Prime Factorization of 79888

Prime Factorization of 79894

Now multiplying the highest exponent prime factors to calculate the LCM of 79888 and 79894.

LCM(79888,79894) = 2⁴ × 4993¹ × 43¹ × 929¹
LCM(79888,79894) = 3191285936