What is the Least Common Multiple of 35972 and 35978?

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 35978 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 35978, than apply into the LCM equation.

GCF(35972,35978) = 2
LCM(35972,35978) = ( 35972 × 35978) / 2
LCM(35972,35978) = 1294200616 / 2
LCM(35972,35978) = 647100308

Least Common Multiple (LCM) of 35972 and 35978 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35972 and 35978. First we will calculate the prime factors of 35972 and 35978.

Prime Factorization of 35972

Prime Factorization of 35978

Now multiplying the highest exponent prime factors to calculate the LCM of 35972 and 35978.

LCM(35972,35978) = 2² × 17¹ × 23² × 17989¹
LCM(35972,35978) = 647100308