What is the Least Common Multiple of 95232 and 95236?

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 95232 and 95236 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95232 and 95236, than apply into the LCM equation.

GCF(95232,95236) = 4
LCM(95232,95236) = ( 95232 × 95236) / 4
LCM(95232,95236) = 9069514752 / 4
LCM(95232,95236) = 2267378688

Least Common Multiple (LCM) of 95232 and 95236 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95232 and 95236. First we will calculate the prime factors of 95232 and 95236.

Prime Factorization of 95232

Prime Factorization of 95236

Now multiplying the highest exponent prime factors to calculate the LCM of 95232 and 95236.

LCM(95232,95236) = 2¹⁰ × 3¹ × 31¹ × 29¹ × 821¹
LCM(95232,95236) = 2267378688