What is the Least Common Multiple of 59520 and 59526?

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 59520 and 59526 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59520 and 59526, than apply into the LCM equation.

GCF(59520,59526) = 6
LCM(59520,59526) = ( 59520 × 59526) / 6
LCM(59520,59526) = 3542987520 / 6
LCM(59520,59526) = 590497920

Least Common Multiple (LCM) of 59520 and 59526 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59520 and 59526. First we will calculate the prime factors of 59520 and 59526.

Prime Factorization of 59520

Prime Factorization of 59526

Now multiplying the highest exponent prime factors to calculate the LCM of 59520 and 59526.

LCM(59520,59526) = 2⁷ × 3² × 5¹ × 31¹ × 3307¹
LCM(59520,59526) = 590497920