What is the Least Common Multiple of 79880 and 79888?

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 79880 and 79888 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79880 and 79888, than apply into the LCM equation.

GCF(79880,79888) = 8
LCM(79880,79888) = ( 79880 × 79888) / 8
LCM(79880,79888) = 6381453440 / 8
LCM(79880,79888) = 797681680

Least Common Multiple (LCM) of 79880 and 79888 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79880 and 79888. First we will calculate the prime factors of 79880 and 79888.

Prime Factorization of 79880

Prime Factorization of 79888

Now multiplying the highest exponent prime factors to calculate the LCM of 79880 and 79888.

LCM(79880,79888) = 2⁴ × 5¹ × 1997¹ × 4993¹
LCM(79880,79888) = 797681680