What is the Least Common Multiple of 70091 and 70108?

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 70091 and 70108 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70091 and 70108, than apply into the LCM equation.

GCF(70091,70108) = 17
LCM(70091,70108) = ( 70091 × 70108) / 17
LCM(70091,70108) = 4913939828 / 17
LCM(70091,70108) = 289055284

Least Common Multiple (LCM) of 70091 and 70108 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70091 and 70108. First we will calculate the prime factors of 70091 and 70108.

Prime Factorization of 70091

Prime Factorization of 70108

Now multiplying the highest exponent prime factors to calculate the LCM of 70091 and 70108.

LCM(70091,70108) = 7¹ × 17¹ × 19¹ × 31¹ × 2² × 1031¹
LCM(70091,70108) = 289055284