What is the Least Common Multiple of 19695 and 19700?

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 19695 and 19700 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19695 and 19700, than apply into the LCM equation.

GCF(19695,19700) = 5
LCM(19695,19700) = ( 19695 × 19700) / 5
LCM(19695,19700) = 387991500 / 5
LCM(19695,19700) = 77598300

Least Common Multiple (LCM) of 19695 and 19700 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19695 and 19700. First we will calculate the prime factors of 19695 and 19700.

Prime Factorization of 19695

Prime Factorization of 19700

Now multiplying the highest exponent prime factors to calculate the LCM of 19695 and 19700.

LCM(19695,19700) = 3¹ × 5² × 13¹ × 101¹ × 2² × 197¹
LCM(19695,19700) = 77598300