What is the Least Common Multiple of 65965 and 65985?

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 65965 and 65985 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65965 and 65985, than apply into the LCM equation.

GCF(65965,65985) = 5
LCM(65965,65985) = ( 65965 × 65985) / 5
LCM(65965,65985) = 4352700525 / 5
LCM(65965,65985) = 870540105

Least Common Multiple (LCM) of 65965 and 65985 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65965 and 65985. First we will calculate the prime factors of 65965 and 65985.

Prime Factorization of 65965

Prime Factorization of 65985

Now multiplying the highest exponent prime factors to calculate the LCM of 65965 and 65985.

LCM(65965,65985) = 5¹ × 79¹ × 167¹ × 3¹ × 53¹ × 83¹
LCM(65965,65985) = 870540105