What is the Least Common Multiple of 59456 and 59472?

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 59456 and 59472 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59456 and 59472, than apply into the LCM equation.

GCF(59456,59472) = 16
LCM(59456,59472) = ( 59456 × 59472) / 16
LCM(59456,59472) = 3535967232 / 16
LCM(59456,59472) = 220997952

Least Common Multiple (LCM) of 59456 and 59472 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59456 and 59472. First we will calculate the prime factors of 59456 and 59472.

Prime Factorization of 59456

Prime Factorization of 59472

Now multiplying the highest exponent prime factors to calculate the LCM of 59456 and 59472.

LCM(59456,59472) = 2⁶ × 929¹ × 3² × 7¹ × 59¹
LCM(59456,59472) = 220997952