What is the Least Common Multiple of 35679 and 35691?

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 35679 and 35691 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35679 and 35691, than apply into the LCM equation.

GCF(35679,35691) = 3
LCM(35679,35691) = ( 35679 × 35691) / 3
LCM(35679,35691) = 1273419189 / 3
LCM(35679,35691) = 424473063

Least Common Multiple (LCM) of 35679 and 35691 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35679 and 35691. First we will calculate the prime factors of 35679 and 35691.

Prime Factorization of 35679

Prime Factorization of 35691

Now multiplying the highest exponent prime factors to calculate the LCM of 35679 and 35691.

LCM(35679,35691) = 3¹ × 7¹ × 1699¹ × 11897¹
LCM(35679,35691) = 424473063