What is the Least Common Multiple of 99465 and 99470?

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 99470 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 99470, than apply into the LCM equation.

GCF(99465,99470) = 5
LCM(99465,99470) = ( 99465 × 99470) / 5
LCM(99465,99470) = 9893783550 / 5
LCM(99465,99470) = 1978756710

Least Common Multiple (LCM) of 99465 and 99470 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99465 and 99470. First we will calculate the prime factors of 99465 and 99470.

Prime Factorization of 99465

Prime Factorization of 99470

Now multiplying the highest exponent prime factors to calculate the LCM of 99465 and 99470.

LCM(99465,99470) = 3¹ × 5¹ × 19¹ × 349¹ × 2¹ × 7³ × 29¹
LCM(99465,99470) = 1978756710