What is the Least Common Multiple of 65970 and 65984?

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 65970 and 65984 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65970 and 65984, than apply into the LCM equation.

GCF(65970,65984) = 2
LCM(65970,65984) = ( 65970 × 65984) / 2
LCM(65970,65984) = 4352964480 / 2
LCM(65970,65984) = 2176482240

Least Common Multiple (LCM) of 65970 and 65984 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65970 and 65984. First we will calculate the prime factors of 65970 and 65984.

Prime Factorization of 65970

Prime Factorization of 65984

Now multiplying the highest exponent prime factors to calculate the LCM of 65970 and 65984.

LCM(65970,65984) = 2⁶ × 3² × 5¹ × 733¹ × 1031¹
LCM(65970,65984) = 2176482240