What is the Least Common Multiple of 99465 and 99485?

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 99465 and 99485 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99465 and 99485, than apply into the LCM equation.

GCF(99465,99485) = 5
LCM(99465,99485) = ( 99465 × 99485) / 5
LCM(99465,99485) = 9895275525 / 5
LCM(99465,99485) = 1979055105

Least Common Multiple (LCM) of 99465 and 99485 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99465 and 99485. First we will calculate the prime factors of 99465 and 99485.

Prime Factorization of 99465

Prime Factorization of 99485

Now multiplying the highest exponent prime factors to calculate the LCM of 99465 and 99485.

LCM(99465,99485) = 3¹ × 5¹ × 19¹ × 349¹ × 101¹ × 197¹
LCM(99465,99485) = 1979055105