What is the Least Common Multiple of 91076 and 91096?

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 91076 and 91096 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91076 and 91096, than apply into the LCM equation.

GCF(91076,91096) = 4
LCM(91076,91096) = ( 91076 × 91096) / 4
LCM(91076,91096) = 8296659296 / 4
LCM(91076,91096) = 2074164824

Least Common Multiple (LCM) of 91076 and 91096 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91076 and 91096. First we will calculate the prime factors of 91076 and 91096.

Prime Factorization of 91076

Prime Factorization of 91096

Now multiplying the highest exponent prime factors to calculate the LCM of 91076 and 91096.

LCM(91076,91096) = 2³ × 22769¹ × 59¹ × 193¹
LCM(91076,91096) = 2074164824