What is the Least Common Multiple of 72145 and 72163?

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 72145 and 72163 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72145 and 72163, than apply into the LCM equation.

GCF(72145,72163) = 1
LCM(72145,72163) = ( 72145 × 72163) / 1
LCM(72145,72163) = 5206199635 / 1
LCM(72145,72163) = 5206199635

Least Common Multiple (LCM) of 72145 and 72163 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72145 and 72163. First we will calculate the prime factors of 72145 and 72163.

Prime Factorization of 72145

Prime Factorization of 72163

Now multiplying the highest exponent prime factors to calculate the LCM of 72145 and 72163.

LCM(72145,72163) = 5¹ × 47¹ × 307¹ × 7¹ × 13² × 61¹
LCM(72145,72163) = 5206199635