What is the Least Common Multiple of 56758 and 56777?

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 56758 and 56777 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56758 and 56777, than apply into the LCM equation.

GCF(56758,56777) = 1
LCM(56758,56777) = ( 56758 × 56777) / 1
LCM(56758,56777) = 3222548966 / 1
LCM(56758,56777) = 3222548966

Least Common Multiple (LCM) of 56758 and 56777 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56758 and 56777. First we will calculate the prime factors of 56758 and 56777.

Prime Factorization of 56758

Prime Factorization of 56777

Now multiplying the highest exponent prime factors to calculate the LCM of 56758 and 56777.

LCM(56758,56777) = 2¹ × 13¹ × 37¹ × 59¹ × 7¹ × 8111¹
LCM(56758,56777) = 3222548966