What is the Least Common Multiple of 11076 and 11096?

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 11076 and 11096 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11076 and 11096, than apply into the LCM equation.

GCF(11076,11096) = 4
LCM(11076,11096) = ( 11076 × 11096) / 4
LCM(11076,11096) = 122899296 / 4
LCM(11076,11096) = 30724824

Least Common Multiple (LCM) of 11076 and 11096 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11076 and 11096. First we will calculate the prime factors of 11076 and 11096.

Prime Factorization of 11076

Prime Factorization of 11096

Now multiplying the highest exponent prime factors to calculate the LCM of 11076 and 11096.

LCM(11076,11096) = 2³ × 3¹ × 13¹ × 71¹ × 19¹ × 73¹
LCM(11076,11096) = 30724824