What is the Least Common Multiple of 19921 and 19932?

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 19921 and 19932 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19921 and 19932, than apply into the LCM equation.

GCF(19921,19932) = 11
LCM(19921,19932) = ( 19921 × 19932) / 11
LCM(19921,19932) = 397065372 / 11
LCM(19921,19932) = 36096852

Least Common Multiple (LCM) of 19921 and 19932 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19921 and 19932. First we will calculate the prime factors of 19921 and 19932.

Prime Factorization of 19921

Prime Factorization of 19932

Now multiplying the highest exponent prime factors to calculate the LCM of 19921 and 19932.

LCM(19921,19932) = 11¹ × 1811¹ × 2² × 3¹ × 151¹
LCM(19921,19932) = 36096852