What is the Least Common Multiple of 54236 and 54256?

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 54236 and 54256 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54236 and 54256, than apply into the LCM equation.

GCF(54236,54256) = 4
LCM(54236,54256) = ( 54236 × 54256) / 4
LCM(54236,54256) = 2942628416 / 4
LCM(54236,54256) = 735657104

Least Common Multiple (LCM) of 54236 and 54256 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54236 and 54256. First we will calculate the prime factors of 54236 and 54256.

Prime Factorization of 54236

Prime Factorization of 54256

Now multiplying the highest exponent prime factors to calculate the LCM of 54236 and 54256.

LCM(54236,54256) = 2⁴ × 7¹ × 13¹ × 149¹ × 3391¹
LCM(54236,54256) = 735657104