What is the Least Common Multiple of 35076 and 35096?

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 35076 and 35096 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35076 and 35096, than apply into the LCM equation.

GCF(35076,35096) = 4
LCM(35076,35096) = ( 35076 × 35096) / 4
LCM(35076,35096) = 1231027296 / 4
LCM(35076,35096) = 307756824

Least Common Multiple (LCM) of 35076 and 35096 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35076 and 35096. First we will calculate the prime factors of 35076 and 35096.

Prime Factorization of 35076

Prime Factorization of 35096

Now multiplying the highest exponent prime factors to calculate the LCM of 35076 and 35096.

LCM(35076,35096) = 2³ × 3¹ × 37¹ × 79¹ × 41¹ × 107¹
LCM(35076,35096) = 307756824