What is the Least Common Multiple of 32076 and 32096?

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 32076 and 32096 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32076 and 32096, than apply into the LCM equation.

GCF(32076,32096) = 4
LCM(32076,32096) = ( 32076 × 32096) / 4
LCM(32076,32096) = 1029511296 / 4
LCM(32076,32096) = 257377824

Least Common Multiple (LCM) of 32076 and 32096 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32076 and 32096. First we will calculate the prime factors of 32076 and 32096.

Prime Factorization of 32076

Prime Factorization of 32096

Now multiplying the highest exponent prime factors to calculate the LCM of 32076 and 32096.

LCM(32076,32096) = 2⁵ × 3⁶ × 11¹ × 17¹ × 59¹
LCM(32076,32096) = 257377824