What is the Least Common Multiple of 53758 and 53777?

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 53758 and 53777 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53758 and 53777, than apply into the LCM equation.

GCF(53758,53777) = 1
LCM(53758,53777) = ( 53758 × 53777) / 1
LCM(53758,53777) = 2890943966 / 1
LCM(53758,53777) = 2890943966

Least Common Multiple (LCM) of 53758 and 53777 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53758 and 53777. First we will calculate the prime factors of 53758 and 53777.

Prime Factorization of 53758

Prime Factorization of 53777

Now multiplying the highest exponent prime factors to calculate the LCM of 53758 and 53777.

LCM(53758,53777) = 2¹ × 26879¹ × 53777¹
LCM(53758,53777) = 2890943966