What is the Least Common Multiple of 65965 and 65980?

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 65980 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 65980, than apply into the LCM equation.

GCF(65965,65980) = 5
LCM(65965,65980) = ( 65965 × 65980) / 5
LCM(65965,65980) = 4352370700 / 5
LCM(65965,65980) = 870474140

Least Common Multiple (LCM) of 65965 and 65980 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65965 and 65980. First we will calculate the prime factors of 65965 and 65980.

Prime Factorization of 65965

Prime Factorization of 65980

Now multiplying the highest exponent prime factors to calculate the LCM of 65965 and 65980.

LCM(65965,65980) = 5¹ × 79¹ × 167¹ × 2² × 3299¹
LCM(65965,65980) = 870474140