What is the Least Common Multiple of 65968 and 65975?

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 65968 and 65975 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65968 and 65975, than apply into the LCM equation.

GCF(65968,65975) = 7
LCM(65968,65975) = ( 65968 × 65975) / 7
LCM(65968,65975) = 4352238800 / 7
LCM(65968,65975) = 621748400

Least Common Multiple (LCM) of 65968 and 65975 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65968 and 65975. First we will calculate the prime factors of 65968 and 65975.

Prime Factorization of 65968

Prime Factorization of 65975

Now multiplying the highest exponent prime factors to calculate the LCM of 65968 and 65975.

LCM(65968,65975) = 2⁴ × 7¹ × 19¹ × 31¹ × 5² × 13¹ × 29¹
LCM(65968,65975) = 621748400