What is the Least Common Multiple of 70076 and 70089?

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 70076 and 70089 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70076 and 70089, than apply into the LCM equation.

GCF(70076,70089) = 1
LCM(70076,70089) = ( 70076 × 70089) / 1
LCM(70076,70089) = 4911556764 / 1
LCM(70076,70089) = 4911556764

Least Common Multiple (LCM) of 70076 and 70089 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70076 and 70089. First we will calculate the prime factors of 70076 and 70089.

Prime Factorization of 70076

Prime Factorization of 70089

Now multiplying the highest exponent prime factors to calculate the LCM of 70076 and 70089.

LCM(70076,70089) = 2² × 17519¹ × 3¹ × 61¹ × 383¹
LCM(70076,70089) = 4911556764