What is the Least Common Multiple of 35972 and 35989?

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 35972 and 35989 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35972 and 35989, than apply into the LCM equation.

GCF(35972,35989) = 17
LCM(35972,35989) = ( 35972 × 35989) / 17
LCM(35972,35989) = 1294596308 / 17
LCM(35972,35989) = 76152724

Least Common Multiple (LCM) of 35972 and 35989 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35972 and 35989. First we will calculate the prime factors of 35972 and 35989.

Prime Factorization of 35972

Prime Factorization of 35989

Now multiplying the highest exponent prime factors to calculate the LCM of 35972 and 35989.

LCM(35972,35989) = 2² × 17¹ × 23² × 29¹ × 73¹
LCM(35972,35989) = 76152724