What is the Least Common Multiple of 20076 and 20096?

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 20076 and 20096 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20076 and 20096, than apply into the LCM equation.

GCF(20076,20096) = 4
LCM(20076,20096) = ( 20076 × 20096) / 4
LCM(20076,20096) = 403447296 / 4
LCM(20076,20096) = 100861824

Least Common Multiple (LCM) of 20076 and 20096 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20076 and 20096. First we will calculate the prime factors of 20076 and 20096.

Prime Factorization of 20076

Prime Factorization of 20096

Now multiplying the highest exponent prime factors to calculate the LCM of 20076 and 20096.

LCM(20076,20096) = 2⁷ × 3¹ × 7¹ × 239¹ × 157¹
LCM(20076,20096) = 100861824