What is the Least Common Multiple of 65620 and 65627?

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 65620 and 65627 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65620 and 65627, than apply into the LCM equation.

GCF(65620,65627) = 1
LCM(65620,65627) = ( 65620 × 65627) / 1
LCM(65620,65627) = 4306443740 / 1
LCM(65620,65627) = 4306443740

Least Common Multiple (LCM) of 65620 and 65627 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65620 and 65627. First we will calculate the prime factors of 65620 and 65627.

Prime Factorization of 65620

Prime Factorization of 65627

Now multiplying the highest exponent prime factors to calculate the LCM of 65620 and 65627.

LCM(65620,65627) = 2² × 5¹ × 17¹ × 193¹ × 29¹ × 31¹ × 73¹
LCM(65620,65627) = 4306443740