What is the Least Common Multiple of 53748 and 53768?

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 53748 and 53768 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53748 and 53768, than apply into the LCM equation.

GCF(53748,53768) = 4
LCM(53748,53768) = ( 53748 × 53768) / 4
LCM(53748,53768) = 2889922464 / 4
LCM(53748,53768) = 722480616

Least Common Multiple (LCM) of 53748 and 53768 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53748 and 53768. First we will calculate the prime factors of 53748 and 53768.

Prime Factorization of 53748

Prime Factorization of 53768

Now multiplying the highest exponent prime factors to calculate the LCM of 53748 and 53768.

LCM(53748,53768) = 2³ × 3² × 1493¹ × 11¹ × 13¹ × 47¹
LCM(53748,53768) = 722480616