What is the Least Common Multiple of 95890 and 95894?

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 95890 and 95894 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95890 and 95894, than apply into the LCM equation.

GCF(95890,95894) = 2
LCM(95890,95894) = ( 95890 × 95894) / 2
LCM(95890,95894) = 9195275660 / 2
LCM(95890,95894) = 4597637830

Least Common Multiple (LCM) of 95890 and 95894 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95890 and 95894. First we will calculate the prime factors of 95890 and 95894.

Prime Factorization of 95890

Prime Factorization of 95894

Now multiplying the highest exponent prime factors to calculate the LCM of 95890 and 95894.

LCM(95890,95894) = 2¹ × 5¹ × 43¹ × 223¹ × 47947¹
LCM(95890,95894) = 4597637830