What is the Least Common Multiple of 96348 and 96364?

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 96348 and 96364 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96348 and 96364, than apply into the LCM equation.

GCF(96348,96364) = 4
LCM(96348,96364) = ( 96348 × 96364) / 4
LCM(96348,96364) = 9284478672 / 4
LCM(96348,96364) = 2321119668

Least Common Multiple (LCM) of 96348 and 96364 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96348 and 96364. First we will calculate the prime factors of 96348 and 96364.

Prime Factorization of 96348

Prime Factorization of 96364

Now multiplying the highest exponent prime factors to calculate the LCM of 96348 and 96364.

LCM(96348,96364) = 2² × 3¹ × 7¹ × 31¹ × 37¹ × 24091¹
LCM(96348,96364) = 2321119668