What is the Least Common Multiple of 71937 and 71955?

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 71937 and 71955 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71937 and 71955, than apply into the LCM equation.

GCF(71937,71955) = 9
LCM(71937,71955) = ( 71937 × 71955) / 9
LCM(71937,71955) = 5176226835 / 9
LCM(71937,71955) = 575136315

Least Common Multiple (LCM) of 71937 and 71955 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71937 and 71955. First we will calculate the prime factors of 71937 and 71955.

Prime Factorization of 71937

Prime Factorization of 71955

Now multiplying the highest exponent prime factors to calculate the LCM of 71937 and 71955.

LCM(71937,71955) = 3³ × 7993¹ × 5¹ × 13¹ × 41¹
LCM(71937,71955) = 575136315