What is the Least Common Multiple of 99730 and 99745?

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 99730 and 99745 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99730 and 99745, than apply into the LCM equation.

GCF(99730,99745) = 5
LCM(99730,99745) = ( 99730 × 99745) / 5
LCM(99730,99745) = 9947568850 / 5
LCM(99730,99745) = 1989513770

Least Common Multiple (LCM) of 99730 and 99745 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99730 and 99745. First we will calculate the prime factors of 99730 and 99745.

Prime Factorization of 99730

Prime Factorization of 99745

Now multiplying the highest exponent prime factors to calculate the LCM of 99730 and 99745.

LCM(99730,99745) = 2¹ × 5¹ × 9973¹ × 19949¹
LCM(99730,99745) = 1989513770