What is the Least Common Multiple of 59451 and 59467?

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 59451 and 59467 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59451 and 59467, than apply into the LCM equation.

GCF(59451,59467) = 1
LCM(59451,59467) = ( 59451 × 59467) / 1
LCM(59451,59467) = 3535372617 / 1
LCM(59451,59467) = 3535372617

Least Common Multiple (LCM) of 59451 and 59467 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59451 and 59467. First we will calculate the prime factors of 59451 and 59467.

Prime Factorization of 59451

Prime Factorization of 59467

Now multiplying the highest exponent prime factors to calculate the LCM of 59451 and 59467.

LCM(59451,59467) = 3¹ × 7¹ × 19¹ × 149¹ × 59467¹
LCM(59451,59467) = 3535372617