What is the Least Common Multiple of 35931 and 35947?

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 35931 and 35947 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35931 and 35947, than apply into the LCM equation.

GCF(35931,35947) = 1
LCM(35931,35947) = ( 35931 × 35947) / 1
LCM(35931,35947) = 1291611657 / 1
LCM(35931,35947) = 1291611657

Least Common Multiple (LCM) of 35931 and 35947 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35931 and 35947. First we will calculate the prime factors of 35931 and 35947.

Prime Factorization of 35931

Prime Factorization of 35947

Now multiplying the highest exponent prime factors to calculate the LCM of 35931 and 35947.

LCM(35931,35947) = 3¹ × 7¹ × 29¹ × 59¹ × 103¹ × 349¹
LCM(35931,35947) = 1291611657