What is the Least Common Multiple of 58536 and 58546?

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 58536 and 58546 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58536 and 58546, than apply into the LCM equation.

GCF(58536,58546) = 2
LCM(58536,58546) = ( 58536 × 58546) / 2
LCM(58536,58546) = 3427048656 / 2
LCM(58536,58546) = 1713524328

Least Common Multiple (LCM) of 58536 and 58546 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58536 and 58546. First we will calculate the prime factors of 58536 and 58546.

Prime Factorization of 58536

Prime Factorization of 58546

Now multiplying the highest exponent prime factors to calculate the LCM of 58536 and 58546.

LCM(58536,58546) = 2³ × 3³ × 271¹ × 73¹ × 401¹
LCM(58536,58546) = 1713524328