What is the Least Common Multiple of 53776 and 53788?

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 53776 and 53788 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53776 and 53788, than apply into the LCM equation.

GCF(53776,53788) = 4
LCM(53776,53788) = ( 53776 × 53788) / 4
LCM(53776,53788) = 2892503488 / 4
LCM(53776,53788) = 723125872

Least Common Multiple (LCM) of 53776 and 53788 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53776 and 53788. First we will calculate the prime factors of 53776 and 53788.

Prime Factorization of 53776

Prime Factorization of 53788

Now multiplying the highest exponent prime factors to calculate the LCM of 53776 and 53788.

LCM(53776,53788) = 2⁴ × 3361¹ × 7¹ × 17¹ × 113¹
LCM(53776,53788) = 723125872