What is the Least Common Multiple of 35919 and 35937?

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 35919 and 35937 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35919 and 35937, than apply into the LCM equation.

GCF(35919,35937) = 9
LCM(35919,35937) = ( 35919 × 35937) / 9
LCM(35919,35937) = 1290821103 / 9
LCM(35919,35937) = 143424567

Least Common Multiple (LCM) of 35919 and 35937 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35919 and 35937. First we will calculate the prime factors of 35919 and 35937.

Prime Factorization of 35919

Prime Factorization of 35937

Now multiplying the highest exponent prime factors to calculate the LCM of 35919 and 35937.

LCM(35919,35937) = 3³ × 13¹ × 307¹ × 11³
LCM(35919,35937) = 143424567