What is the Least Common Multiple of 68076 and 68096?

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 68076 and 68096 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68076 and 68096, than apply into the LCM equation.

GCF(68076,68096) = 4
LCM(68076,68096) = ( 68076 × 68096) / 4
LCM(68076,68096) = 4635703296 / 4
LCM(68076,68096) = 1158925824

Least Common Multiple (LCM) of 68076 and 68096 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68076 and 68096. First we will calculate the prime factors of 68076 and 68096.

Prime Factorization of 68076

Prime Factorization of 68096

Now multiplying the highest exponent prime factors to calculate the LCM of 68076 and 68096.

LCM(68076,68096) = 2⁹ × 3² × 31¹ × 61¹ × 7¹ × 19¹
LCM(68076,68096) = 1158925824