What is the Least Common Multiple of 53536 and 53546?

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 53536 and 53546 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53536 and 53546, than apply into the LCM equation.

GCF(53536,53546) = 2
LCM(53536,53546) = ( 53536 × 53546) / 2
LCM(53536,53546) = 2866638656 / 2
LCM(53536,53546) = 1433319328

Least Common Multiple (LCM) of 53536 and 53546 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53536 and 53546. First we will calculate the prime factors of 53536 and 53546.

Prime Factorization of 53536

Prime Factorization of 53546

Now multiplying the highest exponent prime factors to calculate the LCM of 53536 and 53546.

LCM(53536,53546) = 2⁵ × 7¹ × 239¹ × 41¹ × 653¹
LCM(53536,53546) = 1433319328