What is the Least Common Multiple of 59451 and 59458?

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 59458 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 59458, than apply into the LCM equation.

GCF(59451,59458) = 7
LCM(59451,59458) = ( 59451 × 59458) / 7
LCM(59451,59458) = 3534837558 / 7
LCM(59451,59458) = 504976794

Least Common Multiple (LCM) of 59451 and 59458 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59451 and 59458. First we will calculate the prime factors of 59451 and 59458.

Prime Factorization of 59451

Prime Factorization of 59458

Now multiplying the highest exponent prime factors to calculate the LCM of 59451 and 59458.

LCM(59451,59458) = 3¹ × 7¹ × 19¹ × 149¹ × 2¹ × 31¹ × 137¹
LCM(59451,59458) = 504976794