What is the Least Common Multiple of 45216 and 45236?

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 45216 and 45236 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45216 and 45236, than apply into the LCM equation.

GCF(45216,45236) = 4
LCM(45216,45236) = ( 45216 × 45236) / 4
LCM(45216,45236) = 2045390976 / 4
LCM(45216,45236) = 511347744

Least Common Multiple (LCM) of 45216 and 45236 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45216 and 45236. First we will calculate the prime factors of 45216 and 45236.

Prime Factorization of 45216

Prime Factorization of 45236

Now multiplying the highest exponent prime factors to calculate the LCM of 45216 and 45236.

LCM(45216,45236) = 2⁵ × 3² × 157¹ × 43¹ × 263¹
LCM(45216,45236) = 511347744