What is the Least Common Multiple of 59496 and 59514?

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 59496 and 59514 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59496 and 59514, than apply into the LCM equation.

GCF(59496,59514) = 6
LCM(59496,59514) = ( 59496 × 59514) / 6
LCM(59496,59514) = 3540844944 / 6
LCM(59496,59514) = 590140824

Least Common Multiple (LCM) of 59496 and 59514 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59496 and 59514. First we will calculate the prime factors of 59496 and 59514.

Prime Factorization of 59496

Prime Factorization of 59514

Now multiplying the highest exponent prime factors to calculate the LCM of 59496 and 59514.

LCM(59496,59514) = 2³ × 3¹ × 37¹ × 67¹ × 7¹ × 13¹ × 109¹
LCM(59496,59514) = 590140824