What is the Least Common Multiple of 95064 and 95068?

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 95064 and 95068 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95064 and 95068, than apply into the LCM equation.

GCF(95064,95068) = 4
LCM(95064,95068) = ( 95064 × 95068) / 4
LCM(95064,95068) = 9037544352 / 4
LCM(95064,95068) = 2259386088

Least Common Multiple (LCM) of 95064 and 95068 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95064 and 95068. First we will calculate the prime factors of 95064 and 95068.

Prime Factorization of 95064

Prime Factorization of 95068

Now multiplying the highest exponent prime factors to calculate the LCM of 95064 and 95068.

LCM(95064,95068) = 2³ × 3¹ × 17¹ × 233¹ × 23767¹
LCM(95064,95068) = 2259386088