What is the Least Common Multiple of 85956 and 85972?

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 85956 and 85972 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85956 and 85972, than apply into the LCM equation.

GCF(85956,85972) = 4
LCM(85956,85972) = ( 85956 × 85972) / 4
LCM(85956,85972) = 7389809232 / 4
LCM(85956,85972) = 1847452308

Least Common Multiple (LCM) of 85956 and 85972 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85956 and 85972. First we will calculate the prime factors of 85956 and 85972.

Prime Factorization of 85956

Prime Factorization of 85972

Now multiplying the highest exponent prime factors to calculate the LCM of 85956 and 85972.

LCM(85956,85972) = 2² × 3¹ × 13¹ × 19¹ × 29¹ × 21493¹
LCM(85956,85972) = 1847452308